{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this Kernel we'll beat the bookmakers by betting on some well-chosen tennis matches !  \n",
    "\n",
    "All the data is from http://tennis-data.co.uk/data.php.  \n",
    "We have all the tennis matches played in the ATP World Tour (Grand Slams, Masers, Master 1000 & ATP500) since January 2000, and until March 2018. \n",
    "\n",
    "There is much information in this dataset. This notebook will focus only on a quick analysis of the betting market, and propose a betting strategy that generates a non negligible return on investment. \n",
    "\n",
    "The full code is available on github : https://github.com/edouardthom/ATPBetting.git."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Table of Contents\n",
    "1. [Introduction : the data and some definitions](#introduction)\n",
    "2. [Assessment of some basic strategies ](#basic)\n",
    "    1. [Betting on all matches](#all_matches)\n",
    "    2. [Betting on a selection of matches](#selection_matches)\n",
    "3. [The proposed strategy](#proposed_strategy)\n",
    "    1. [Confidence computation](#confidence)\n",
    "    2. [Performance of the prediction](#performance)\n",
    "    3. [Final ROI](#final_roi)\n",
    "    4. [Roi variability study](#variability) \n",
    "4. [Conclusion](#conclusion)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction : the data and some definitions <a name=\"introduction\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Some important definitions : odds and ROI"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's say you bet 10€ on Djokovic with an odd of 1.3\n",
    "\n",
    "* If he wins, you go back home with your 10€, plus 3€ of benefits\n",
    "* If he loses you go back home with 0€  \n",
    "   \n",
    "   \n",
    "* If he wins, as you bet 10€ and won 13€, we say that your ROI (return on investment) is 30%\n",
    "* If he looses, your ROI in -100%"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The tennis matches data "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from datetime import datetime,timedelta\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "data=pd.read_csv(\"Generated Data/atp_data.csv\",low_memory=False)\n",
    "data.Date = data.Date.apply(lambda x:datetime.strptime(x, '%Y-%m-%d'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dataset \"atp_data.csv\" is directly built from the data you can find on http://tennis-data.co.uk/data.php. I selected the columns that will be useful for the betting model, and added the elo rankings of the players at the beginning of each match.\n",
    "\n",
    "We have all the matches played on the ATP World Tour from January 2000 to March 2018.\n",
    "\n",
    "One row per match. And we have some information about each match :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total number of matches : 44708\n"
     ]
    }
   ],
   "source": [
    "print(\"Total number of matches : \"+str(len(data)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['ATP', 'Location', 'Tournament', 'Date', 'Series', 'Court', 'Surface', 'Round', 'Best of', 'Winner', 'Loser', 'WRank', 'LRank', 'Wsets', 'Lsets', 'Comment', 'PSW', 'PSL', 'B365W', 'B365L', 'elo_winner', 'elo_loser', 'proba_elo']\n"
     ]
    }
   ],
   "source": [
    "print(list(data.columns))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For each of the matches, you have the Tournament, Date, match winner, match loser,  surface, tournament round, the ATP rankings of the winner and the loser... These informations will be useful to build features for the model.\n",
    "\n",
    "**And very important :** the odds of 2 bookmakers, Pinnacle and Bet365 (odds at the beginning of the match)\n",
    "\n",
    "With this information we can estimate the ROI of any betting strategy.\n",
    "\n",
    "Now let's begin by assessing the ROI of simple strategies..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Assessment of some basic strategies <a name=\"basic\"></a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {},
   "outputs": [],
   "source": [
    "def basic_horizontal_barplot(values,labels,xaxis_label,title,xlim=None,figsize=None):\n",
    "    \"\"\"\n",
    "    Please provide the labels corresponding to the values, the plot title, and the xaxis label.\n",
    "    \"\"\"\n",
    "    # Possible colors to use - if not enough, colors are reused\n",
    "    cs=[\"coral\",\"tomato\",\"peachpuff\",\"orange\",\"gold\",\"firebrick\",\"peru\",\"khaki\",\"chocolate\"]\n",
    "    cs=cs*(len(values)//len(cs)+1)\n",
    "    # The figure\n",
    "    if figsize==None:\n",
    "        fig=plt.figure(figsize=(4,3))\n",
    "    else:\n",
    "        fig=plt.figure(figsize=figsize,dpi=120)\n",
    "    ax = fig.add_axes([0,0,1,0.9])\n",
    "    color=cs[:len(values)]\n",
    "    ax.barh(range(len(values)),values,color=color)\n",
    "    ax.set_yticks(range(len(values)))\n",
    "    ax.set_yticklabels(labels)\n",
    "    if xlim!=None:\n",
    "        ax.set_xlim(xlim)\n",
    "    plt.suptitle(title)\n",
    "    ax.set_xlabel(xaxis_label)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Betting on all matches <a name=\"all_matches\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's say we decide to bet on all matches between January 2011 and march 2018."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of matches during this period : 16412\n"
     ]
    }
   ],
   "source": [
    "beg=datetime(2011,1,1) \n",
    "end=data.Date.iloc[-1]\n",
    "indices=data[(data.Date>beg)&(data.Date<=end)].index\n",
    "data_sel=data[[\"B365W\",\"B365L\",\"PSW\",\"PSL\",\"WRank\",\"LRank\"]]\n",
    "data_sel=data.iloc[indices,:]\n",
    "print(\"Number of matches during this period : \"+str(len(data_sel)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*(with such a number of matches the confidence intervals will be very small)*\n",
    "\n",
    "3 possible strategies are :\n",
    "* always betting on the player with the smallest odd\n",
    "* always betting on the player with the best ATP ranking\n",
    "* betting completely at random for each match : \"head or tail betting\"\n",
    "\n",
    "In the following graph we compare these 3 strategies for the 2 bookmakers.\n",
    "\n",
    "**Precision :** we bet the same amount of money on each match."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 240,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YnQnWxsbGNGrUCNBN59qxYwePHz+mRIkSdOjQQaee9u3bZ5nW8jw7d+4kJiYGS0tLhg0b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\nJMmKEEIIIYQQQif9H2bec4Md21uzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d66da9c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Comparison of some basic strategies\n",
    "roi_smallest_odd_ps=100*(data_sel.PSW[data_sel.PSW<data_sel.PSL].sum()-len(data_sel))/len(data_sel)\n",
    "roi_best_ranking_ps=100*(data_sel.PSW[data_sel.WRank<data_sel.LRank].sum()-len(data_sel))/len(data_sel)\n",
    "roi_random_ps=100*(data_sel.sample(int(len(data_sel)/2)).PSW.sum()-len(data_sel))/len(data_sel)\n",
    "roi_smallest_odd_365=100*(data_sel.B365W[data_sel.B365W<data_sel.B365L].sum()-len(data_sel))/len(data_sel)\n",
    "roi_best_ranking_365=100*(data_sel.B365W[data_sel.WRank<data_sel.LRank].sum()-len(data_sel))/len(data_sel)\n",
    "roi_random_365=100*(data_sel.sample(int(len(data_sel)/2)).PSW.sum()-len(data_sel))/len(data_sel)\n",
    "values=[roi_smallest_odd_ps,roi_best_ranking_ps,roi_random_ps,\n",
    "        roi_smallest_odd_365,roi_best_ranking_365,roi_random_365]\n",
    "labels=[\"Pinnacle\\nsmallest odds strategy\",\"Pinnacle\\nbest ranking strategy\",\"Pinnacle\\nhead or tail betting\",\n",
    "       \"Bet365\\nsmallest odds strategy\",\"Best365\\nbest ranking strategy\",\"Bet365\\nhead or tail betting\"]\n",
    "xaxis_label=\"Return on investment (ROI) in %\"\n",
    "title=\"Betting on all ATP matches since 2011\"\n",
    "basic_horizontal_barplot(values,labels,xaxis_label,title,[0,-8],(5,3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*(it means for example that if during 1000 matches we bet 1€ on the best ranked player on Pinnacle, we can expect to loose approximately 26€ in the end)*\n",
    "\n",
    "Pinnacle has a reputation of having the best odds. It seems to deserve well its reputation. A global loss of ~2% is very low. On the contrary Bet365 seems to take a much higher commission than Pinnacle.\n",
    "\n",
    "\n",
    "Considering the ROI of the random strategy, it is the best strategy on Bet365 and the worse on Pinnacle. One possible explanantion is that Bet365 is intended to more unexperienced gamblers. They might have noticed that their gamblers tend to overbet on the best ranked player, so to mitigate the risk they decrease the odds of the best ranked players. But we'll go back to these bookmakers techniques later...\n",
    "  \n",
    "  \n",
    "**Now let's imagine we know in advance the result of each match. So we always bet on the winner of the match.**\n",
    "\n",
    "What is the ROI we can expect ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 241,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jzJkza82aNQ/tqSDdmwzP9mi0d999V7t27dLKlStVv3591ahRQ87Oztq6dasu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\n5levXuWrr77ik08+oWfPnkZ7UlISAwcOpFGjRsydO5cePXrwww8/EBQ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d60002ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Maximum possible ROI\n",
    "max_roi_ps=100*(data_sel.PSW.sum()-len(data_sel))/len(data_sel)\n",
    "max_roi_365=100*(data_sel.B365W.sum()-len(data_sel))/len(data_sel)\n",
    "values=[max_roi_ps,max_roi_365]\n",
    "labels=[\"Pinnacle\\ngood prediction for all matches\",\"Bet365\\ngood prediction for all matches\"]\n",
    "xaxis_label=\"Return on investment (ROI) in %\"\n",
    "title=\"Betting on all ATP matches since 2011\"\n",
    "basic_horizontal_barplot(values,labels,xaxis_label,title,[0,100],(6,2.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Therefore if we bet on all matches we can't expect a ROI above 92%.\n",
    "\n",
    "Once again it appears that Pinnacle is much more friendly than Bet365.\n",
    "\n",
    "In the following we'll focus on Pinnacle only."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Betting on a selection of matches <a name=\"selection_matches\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Idea :** instead of betting on all matches, we could focus on some matches where we are especially confident. \n",
    "\n",
    "In the following, every betting strategy will output a \"confidence dataset\". For each match it will contain the confidence in each player. From this dataset, we can set a threshold and bet only on the matches where our confidence is beyond a certain threshold."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As an example, we begin with a simple hypothetical strategy. We can say that our confidence is the odd itself. Therefore the greater the odd of a player the greater our will to bet on him. Let's imagine we know the winner of each match in advance and we bet only on the X% of players with the highest odds. This would be the perfect strategy in a world where we are omniscient.\n",
    "\n",
    "What would be our ROI ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 213,
   "metadata": {},
   "outputs": [],
   "source": [
    "def profitComputation(percentage_matchs,conf,model_name=\"0\"):\n",
    "    \"\"\"\n",
    "    Given a confidence dataset and a percentage of matches, computes the ROI \n",
    "    if we bet only on the percentage of matches we have the most confidence in\n",
    "    (same amount for each match).\n",
    "    \"\"\"\n",
    "    coeff=percentage_matchs/100\n",
    "    lim=int(coeff*len(conf))\n",
    "    conf=conf.sort_values(\"confidence\"+model_name,ascending=False)\n",
    "    conf=conf.iloc[:lim,:]\n",
    "    profit=100*(conf.PSW[conf[\"win\"+model_name]==1].sum()-len(conf))/len(conf)\n",
    "    return profit\n",
    "\n",
    "def plotProfits(conf,title=\"\"):\n",
    "    \"\"\"\n",
    "    Given a confidence dataset, plots the ROI according to the percentage of matches\n",
    "    we bet on. \n",
    "    \"\"\"\n",
    "    profits=[]\n",
    "    ticks=range(5,101)\n",
    "    for i in ticks:\n",
    "        p=profitComputation(i,conf)\n",
    "        profits.append(p)\n",
    "    fig=plt.figure(figsize=(6,4),dpi=120)\n",
    "    plt.plot(ticks,profits)\n",
    "    plt.xticks(range(0,101,5))\n",
    "    plt.xlabel(\"% of matches we bet on\")\n",
    "    plt.ylabel(\"Return on investment (%)\")\n",
    "    plt.suptitle(title)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 214,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VcePGASj4hS9x+vRpZGZmwt7eXvp8SXh4eJS6xQIAfv31V+Tm5uKDDz5As2bNZNZNnDgR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KCqquqx1/m70tJSAEBAQIAkPm7cOLz00kvQarWSuCAIePnll8VjMzMzWFpaoq2t7amuy9h/Fb9o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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d6000f898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "perfect_conf=pd.concat([data_sel[[\"Date\",\"PSW\",\"PSL\"]]],1)\n",
    "perfect_conf[\"win0\"]=[1]*len(perfect_conf)\n",
    "perfect_conf[\"confidence0\"]=perfect_conf.PSW\n",
    "perfect_conf=perfect_conf.rename(columns={\"Date\":\"date\"})\n",
    "plotProfits(perfect_conf,\"Good prediction for all matches (Pinnacle)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see if we bet on 100% of the matches, and we are right each time, we find again the ROI we found above (92%).\n",
    "\n",
    "But if we bet only on the matches we are the most confident in (in our ideal case the match with the highest odds) our ROI is much higher.\n",
    "\n",
    "\n",
    "Betting on a subset of matches is in general a good strategy. It is hard to get a good ROI by betting on ALL matches, but it is feasible with a subset. The only limit being the percentage of matches we bet on. If it is too small, the variance in our ROI will be big. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# The proposed strategy <a name=\"proposed_strategy\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "XGBoost will predict a probability for each outcome of each match. \n",
    "\n",
    "Our confidence will be our probability divided by the probability implied by the bookmaker.\n",
    "\n",
    "The probability implied by the bookmaker is the inverse of the odd.\n",
    "\n",
    "**Example :** \n",
    "\n",
    "* There is an odd of 2.5 on the victory of Zverev against Nadal\n",
    "* This odd tells us it is unlikely to happen\n",
    "* More precisely the probability implied by the bookmaker is 1/2.5 = 0.4\n",
    "* But our model tells us the real probability is 0.8, so Zverev is the favourite\n",
    "* It might be because Nadal is overpriced (because he is Nadal)\n",
    "* But we won't be fooled \n",
    "* Our confidence is here 0.8/0.4 = 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Confidence computation <a name=\"confidence\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To test this whole betting strategy, we'll take time into account. \n",
    "\n",
    "We train a model to predict the outcome of each match given the last 10700. Out of the 10700, 300 are devoted to validation - the 300 consecutive matches right before the match we want to predict.\n",
    "\n",
    "To make the process quicker, and as it doesn't harm the ROI, instead of training a new model to predict each match, we make the same model predict 2000 matches at a time."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The features used are various. we can cite :\n",
    "* The Pinnacle odds\n",
    "* For each player the percentage of matches won during the last X days\n",
    "* For each player the number of matches played during the last X days\n",
    "* For each player the number of recent wounds\n",
    "* The Elo rankings of the players\n",
    "* ...\n",
    "I also directly one-hot encoded the players with the most matches.\n",
    "\n",
    "As the code to build the training set is a little bit too long for this kernel, you can find it in this github repo :\n",
    "https://github.com/edouardthom/ATPBetting.git. The result of some computation is in the github in the folder \"Generated Data\". This is where you can find the dataframe used in the 2nd part.\n",
    "\n",
    "We'll import the dataset with the prediction (and the confidence level) for each match, and study it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 234,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total number of matches predicted : 11054\n"
     ]
    }
   ],
   "source": [
    "# Our predictions + confidence level + if we were right or not\n",
    "conf=pd.read_csv(\"Generated Data/confidence_data.csv\")\n",
    "print(\"Total number of matches predicted : \"+str(len(conf)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 235,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>match</th>\n",
       "      <th>PSW</th>\n",
       "      <th>win0</th>\n",
       "      <th>confidence0</th>\n",
       "      <th>date</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>20445</td>\n",
       "      <td>2.85</td>\n",
       "      <td>1</td>\n",
       "      <td>2.037852</td>\n",
       "      <td>2016-07-22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>19518</td>\n",
       "      <td>1.41</td>\n",
       "      <td>0</td>\n",
       "      <td>1.973181</td>\n",
       "      <td>2016-04-16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>15396</td>\n",
       "      <td>3.15</td>\n",
       "      <td>1</td>\n",
       "      <td>1.950877</td>\n",
       "      <td>2013-08-13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>18868</td>\n",
       "      <td>1.55</td>\n",
       "      <td>0</td>\n",
       "      <td>1.914305</td>\n",
       "      <td>2016-01-25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>22118</td>\n",
       "      <td>2.70</td>\n",
       "      <td>1</td>\n",
       "      <td>1.888781</td>\n",
       "      <td>2017-04-18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>20581</td>\n",
       "      <td>2.86</td>\n",
       "      <td>1</td>\n",
       "      <td>1.866368</td>\n",
       "      <td>2016-08-15</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   match   PSW  win0  confidence0        date\n",
       "0  20445  2.85     1     2.037852  2016-07-22\n",
       "1  19518  1.41     0     1.973181  2016-04-16\n",
       "2  15396  3.15     1     1.950877  2013-08-13\n",
       "3  18868  1.55     0     1.914305  2016-01-25\n",
       "4  22118  2.70     1     1.888781  2017-04-18\n",
       "5  20581  2.86     1     1.866368  2016-08-15"
      ]
     },
     "execution_count": 235,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "conf.iloc[:6,:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can see that for each of the matches we have :\n",
    "* its date\n",
    "* our confidence in the outcome we chose\n",
    "* if the outcome we chose is the right one (ie. if we bet on the winner of the match)\n",
    "* the odds corresponding to the outcome we chose"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Performance of the prediction <a name=\"performance\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What is the percentage of matches we predicted right ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jPJIeanNq+iTN09PTe+9QtLmlr6+PYsWKoXXr1mjQoAHatm2LP//8E4GBgfj+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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d66e09400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Comparison of different techniques for the winner prediction\n",
    "# Interval for the comparison : [beg,end]\n",
    "beg=datetime(2013,1,1)\n",
    "end=data.Date.iloc[-1]\n",
    "indices=data[(data.Date>=beg)&(data.Date<=end)].index\n",
    "# classical ATP ranking\n",
    "test=data[[\"WRank\",\"LRank\"]].iloc[indices,:]\n",
    "atp=100*(test.LRank>test.WRank).sum()/len(indices)\n",
    "# Elo ranking\n",
    "test=data.iloc[indices,:]\n",
    "elo=100*(test.elo_winner>test.elo_loser).sum()/len(indices)\n",
    "# Bookmakers\n",
    "test=data.iloc[indices,:]\n",
    "book_pi=100*(test.PSW<test.PSL).sum()/len(indices)\n",
    "book_365=100*(test.B365W<test.B365L).sum()/len(indices)\n",
    "# Our prediction\n",
    "our=100*conf.win0.sum()/len(conf)\n",
    "# Plot\n",
    "labels=[\"Prediction with ATP ranking\",\"with Elo ranking\",\n",
    "        \"Bet365\",\"Pinnacle\",\n",
    "        \"our prediction\"]\n",
    "values=[atp,elo,book_pi,book_365,our]\n",
    "xaxis_label=\"% of matches correctly predicted\"\n",
    "title=\"Prediction of all matches since Jan. 2013 (\"+str(len(indices))+\" matches)\"\n",
    "xlim=[65,70]\n",
    "basic_horizontal_barplot(values,labels,xaxis_label,title,xlim,figsize=(4,4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can remark that our prediction is not especially incredible. \n",
    "\n",
    "We predicted 68.7% of matches right.\n",
    "\n",
    "**But this is not the final objective, we want the best ROI.** \n",
    "\n",
    "If we are often wrong but right only on the matches with high odds, it's ok !\n",
    "\n",
    "In fact all the hyperparameters of the models were chosen to maximize the ROI, and not the prediction accuracy."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Final ROI <a name=\"final_roi\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With our predictions and their associated confidence levels, we can now see what would have happened if we had bet only on the X% matches we are the most confident in the outcome.\n",
    "\n",
    "*Reminder : we bet the same amount of money per match*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 215,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hfIlEIqxZs0YQi8XC559/XmL+qlWrZOsnJSXJzbtw4YJgZWUlWFtbC3fu3JFNv3fvnmBj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bW1TvXVa6du3bqlk/qNjIxgYWGBoqKiVp8VFhbCw8NDJ7oP07t3bwwePBjl5eWd3nfnzp1YtWoV\nFi9ejPnz54txXfhqS6stOuuroqICmZmZcHV1Fd+VBUBcE1haWsrMkzat/Px8Jp5SUlLw4MEDTJo0\nSYwREQBg3LhxcHV1ZeapI1rbtm17Yk/toT5fy8vLdXpeabsuPI4nExMTmJubo6qqShJXP1Lt378/\nM0/atNqaeXuSvvrxxx/Rp08fyXVcV9c/TVpt0VlPxcXFUKlUrdYKv/DCCwCAkpISZp60abW1vu1x\n+8nY2Bjr1q3Dhx9+iPr6epibm+P8+fMAWpJMVr7a02lrvfKTXic6OtaGDh2Ks2fPaiwzePBgyRea\ndEG3fYxraWmJoUOH4tixY5L4kSNHYGBggJdeeomJTn5+Pj744INWN9kLFy4AaPmWmq5QKBQ4ceIE\nVCqVGLt06RJu3LgBHx8fZjoNDQ2IjIxEamqqJF5ZWYni4uJOe8zIyMDKlSsRHh6uMfli6as9LVa+\n6uvr8e677yI5OVkSV68lGTBgADNP2rTMzc2ZeFq0aBG+/fZbJCcniz9RUVEAgM2bNyMqKoqZJ21a\nH374IbPx15HzlYUvbTqWlpZMz6nRo0cjLS1NsmxEPVNkY2PD9JxqT8va2pqpLwDIzMyEo6NjqwX0\nurj+adJidZ1Qv1w9Ly9PElePkcGDBzPzpE1r0KBBTPvpxx9/RE5ODnr37i3+EXrw4EE4Ozszvf61\np2NmZsZ87KnpSPu9vb1RUlIiOeYNDQ04ceIElErlY2t3GJ2/3OX/YVJSUsjGxobi4+OptLSUfvjh\nB5LJZPTxxx8z06ipqSFvb2/y9/en9PR08eXN3t7eNHHixCd6uezdu3fFF0KOHj2a/va3v4nb9+/f\np+LiYnJxcaH333+frl27RufPn6fJkyfTtGnTqKmpianW22+/TTKZjPbv30/FxcV05swZCgoKImdn\nZ7p27VqHdZqbm2nChAk0c+ZMjS++rKmpYearI1qsfIWHh5OLiwvt3buXioqK6NSpU+Tv709yuZyq\nqqqY9pU2LVaeHiUzM1Py7juWnrRpsfLUkfOVha+O6LDsp4KCAnJxcaEFCxZQfn4+paenk1KppOnT\npxMR277SpsV6/Knfu/gouhh/bWmx8rRo0SIaOXKk+KLj7OxsCggIILlcTpWVlUw9adNi2U8LFy4k\nDw8P+umnn6ikpIQSEhLIwcGBsrOziYhdX2nTeVxPLO61KpWKpkyZQgEBAXT+/HnKz8+n0NBQkslk\nVFZW1qnj+Th062SPiOjAgQP08ssvk729PSkUCoqNjX3iG9GjlJSU0HvvvUcvvfQS2dvbk1wup6VL\nl9KdO3eeqN6goCASBEHjT1JSEhER5ebm0p///GcaPnw4ubq60gcffPBY/7lDm1ZdXR3FxMTQ2LFj\nycHBgWQyGYWEhNClS5c6pVNaWtqmjiAI4ktoWfjqiBYrX/X19RQTE0M+Pj7iWAsNDRWTFVaeOqLF\nytOjPJqAsfSkTYulp46cryx8adNh3U8XLlygoKAgcnR0JJlMRhEREVRdXc3UU0e0WPpqamoiQRAo\nJiZG4+csPbWnxcpTbW0trVmzhhQKBdnZ2ZGbmxu99dZbVFBQwNyTNi2W/VRdXU3h4eHk4eFBDg4O\nNHXqVDp58qSkDAtf2nQe1xOre+3t27fFBM/R0ZHmzJlDly9f7pTHx0WP6L+LXzgcDofD4XA4XY5u\nu2aPw+FwOBwOpzvAkz0Oh8PhcDicLgxP9jgcDofD4XC6MDzZ43A4HA6Hw+nC8GSPw+FwOBwOpwvD\nkz0Oh8PhcDicLgxP9jgcDofD4XC6MDzZ43A4HA6Hw+nC8GSPw+FwOBwOpwvDkz0Opwtz9uxZBAYG\nwsXFBa+88grOnDnTqgwRYdasWYiIiGCu/8svvyAgIAD29vYICQlhXv/vwenTp2FjY4NDhw790U35\nQ/Dx8YG/v/8f3QwOh/ME8GSPw+miqFQq/P3vf0f//v2xadMmWFhYYNGiRVCpVJJyu3fvRmFhIcLC\nwpi3IS4uDlevXsW6devw3nvvMa+/s0yaNAn79u37o5vR7eH9wOH8vhj80Q3gcDi6ITc3F+Xl5YiP\nj8eLL74Ic3NzTJw4Ebm5uRg5ciQA4Pbt21i3bh0iIyNhamrKvA13795F//794efnx7zuzlJZWYlf\nf/31j25Gt4f3A4fz+8Nn9jicLkpZWRkA4PnnnwcAWFlZAQBu3rwplomKioKTkxMmTZrUqbpv3ryJ\niIgIeHl5wd7eHl5eXggLCxPrLi0thY2NDbKysnDjxg3Y2Nhg9uzZbdbn4+ODefPmIScnB4GBgXB0\ndMSYMWPw3XffQaVS4Z///Ce8vLwwcuRIhISE4NatW5L9z549i/nz50Mmk8HR0RF+fn74/PPPxVnM\nffv2wd3dHUSEiIgI2NjYoLS0FABQXl6OiIgIyOVyuLi4ICAgAAcPHtTYzh07dmDs2LFwcHCAj48P\nduzY0arMzp07MWXKFAwfPhwjR47EvHnzcPbsWUmZ8vJyLF26FEqlEsOHD4dcLsfChQuRn5/f5jFa\nvHgxZDIZmpubJfXY2NjA29tbUraoqAg2Njb4+uuvAQB1dXVYu3YtfH194eDgALlcLumvjpCbm4sZ\nM2bAyckJ7u7uWLJkCWpqaiRlLl68iAULFsDV1RXDhw/HxIkTER8fL7a5vX7QxL179xAVFQWlUgkH\nBwe4u7vjnXfeQV5enqScjY0NIiMjcerUKUybNg3Ozs5QKBRYu3YtGhoaOuyRw+myEIfD6ZJ8++23\nJAgCNTY2EhGRSqUiQRDo4MGDRER07NgxcnJyopKSkk7VW1VVRd7e3iSXy2nXrl2UlZVFe/bsIblc\nTkqlkqqrq6m+vp5yc3MpICCA5HI55ebmUn5+fpt1KpVK8vf3p8DAQEpNTaXjx4/T+PHjyd7enkJD\nQ2nFihWUkZFBX375Jdna2tJbb70l7pufn09OTk40ffp0On78OGVlZVFUVBQJgkAxMTFERFRRUUE7\nd+4kQRBow4YNlJubS/X19VRdXU2+vr7k7e1NBw4coMzMTFq2bBkJgkB79+4lIqLMzEwSBIHmzp1L\nb775Jh0/fpyOHDlCkydPJkEQ6PLly2JbYmJiSBAEWr58OWVkZNAPP/xAM2bMIHt7ezp79qxYburU\nqSSXy2n//v105swZ+v777+mVV14hT09Pqqur03iMkpKSSBAEunTpkhg7cOAAubu7kyAIVFxcLMZ3\n795NgiBQYWEhNTU10axZs8jZ2Zm2bNlCWVlZtHfvXlIoFKRQKKiysrLd/lYqleTl5UX+/v60a9cu\nysjIEH2GhoaK5S5fvkyOjo4UEBBAKSkpdOrUKVq7di3Z2trSypUr2+0HTTQ0NFBAQAC5uLhQQkIC\nnT59mr799lsaP348yWQyun79ulhWEAR67bXXyN/fnw4dOkSZmZkUGhpKgiDQp59+2q4/Dqc7wJM9\nDqeLok5SSktLiYioqKiIBEGg7Oxsqq2tJaVSSVu3bqWqqir64IMPaNy4cfTaa69Rampqu/Vu2rSJ\nBEGg9PR0SfzYsWMkCAIlJCSIsaCgIFIqlVrbqlQqWyVOe/bsIUEQaM6cOZKyM2fOJDc3N3H76NGj\nFBwcTL/++quknJ+fn0RbfTySkpLE2BdffEGCINDFixcl+7766qs0c+ZMyX5Tp06l5uZmsUx6ejoJ\ngkCbNm0iIqLy8nKyt7en8PBwSV3V1dXk6elJc+fOJSKiu3fvkiAItGrVKkm50tJS2rx5M926dUvj\nMbp58yYJgkBfffWVGIuIiKDQ0FBSKBQSX6GhoeTr60tERKmpqSQIAu3bt09S37lz5yTtbwt13zza\n32+//TYNGzaM7ty5Q0REISEh5O7uThUVFZJykZGRZGtrSzdu3CAizf2giQMHDpAgCLR7925J/OrV\nqyQIAn300UdiTBAEsre3lyS81dXVZGdnR0FBQe3qcDjdAf4Yl8Ppojg7O6NPnz748ssvUVNTg23b\ntsHMzAyOjo5Yv349TE1NMXfuXERFReHq1auIi4vD5MmTERoaiuLi4jbrzcjIgLGxMUaNGiWJe3l5\nwdDQEKdPn36s9vbr1w+2trbi9qBBgwCglY6FhQWqqqrEbaVSiS1btsDa2lpSzsrKCjdu3GhXMz09\nHaamprCzs5PE9+7di8TEREls7Nix0NPTE7cHDx4MALhz5w6AluOiUqnw8ssvS/YzMTGBp6cnfv75\nZwCAkZERTExMkJKSgrS0NDQ2Nor1zZ8/H/3799fY1gEDBsDa2hrZ2dli7PTp03B2doaLi0uruJeX\nFwAgLS0Nenp6mDBhgqQ+JycnmJubi+1qDyMjo1b94OHhgaamJly+fBmNjY3IyMjAqFGjYGZmJik3\nduxYNDc349y5c1p1HiYjIwMAMGbMGEn8xRdfxHPPPYesrCxJXBAEWFpaitsmJiYwMzNDZWVlp3Q5\nnK4I/4IGh9NFeeqppxAVFYWwsDB89dVXMDIyQnR0NK5evYodO3Zg9+7dAIDDhw9j6dKlsLa2hrW1\nNTZv3ozDhw8jODhYY723bt2Cubm5JPEBAAMDA5iZmbVaT9dR+vbt26o+oCUJfBhDQ0MQkbjd1NSE\nxMREJCcno6ioCNXV1R3WLC8vb6XbFs8++6zG9qnXo6nXv7V13ICWLyeYmppiw4YNCAsLw/z582Fs\nbAw3NzeMHz8eEydORM+ePdvcXy6Xi6+AuX79OkpLS+Hq6ooePXogPj4eAHDt2jXcvn1bTPbKyspA\nRHByctJYp3ptZ3v079+/VX+r+6WiogJ3797FgwcPcOjQoTZfUdOZ9YFAS98YGhpq7B9zc3MUFBRI\nYo/2DwD07NlTMlY4nO4KT/Y4nC7MuHHj4O3tjbKyMlhYWEBfXx/Tpk1DUFAQ7O3tcfv2bdy/f1+c\npQJaZtRKSkrarFNPT6/NGygRtUoKnhRt9X3yySeIj4/H+PHjsXDhQvTr1w/6+vpYvXp1q9kfTXU/\n+iqaJyUqKgoODg4aPzMyMgLQkrQdPXoUJ0+eRFpaGo4fP45jx45h+/btSExMRK9evTTuL5fLsW3b\nNhQUFODMmTMwNTWFjY0N9PT0sHLlSpSVlSErKwuGhobw8PAQ9+vRoweSkpI0HktDQ0OtnjTtpx4D\nPXr87wGRj48PFi5cqLEOTcnYk/Bom1iPOw6nK8GTPQ6ni9OzZ0/xm7jx8fGorKwUb8jqWamHv+FJ\nLWt526xv0KBB+Pnnn1sldg0NDaisrGxzBklX7Nu3D1ZWVli/fr2kPXV1dVr3tbCwQHZ2NpqamqCv\nry/GHzx4gIaGBvTu3bvD7VA/djY0NMSwYcO0lu/ZsyeUSiWUSiUiIyMRGxuLuLg4fP/99wgMDNS4\nj5ubGwwNDZGTk4OsrCy4urpCT08PgiCgT58+yMrKQlZWFlxcXGBiYgKg5fFwc3MzzMzMYGFh0WE/\nD6N+VK0p1q9fP/Tt2xe9evVCXV1dh7x3hEGDBkGlUqGioqLV7N6tW7cwcOBAJjocTneAr9njcLoJ\n169fR2xsLD788ENxhqlfv37o2bMnCgsLAbQ8Ei0sLBQTF014eXmhrq4OJ06ckMR/+uknqFSqVmu7\ndE1jY2Orx8rZ2dm4ePEigBZPwP9mftTbACCTyVBXV4f09HRJncHBwZg8eXKn2uHu7g4DAwMcOHCg\n1WcxMTFITk4G0PIKk/DwcEkCpaenB19fXwAt7yZsi6effhojRozAmTNnxGRPvb86fubMGfERLtAy\nGwhA1FdTV1eHJUuWtHotjCbu3buHnJwcSSw9PR2Ghoaws7ODvr4+PD09kZOTg+vXr0vKpaWlYe3a\nteJrWjT1gybUHlJTUyXxS5cu4caNG/D09NTabg6H0wKf2eNwugkrVqyAUqmEQqEQYwYGBlAqlUhI\nSICVlRUyMjJw7949jB07ts16pk+fjl27dmHJkiV49913YWVlhby8PKxfvx7W1tZtzkrpCjc3Nxw/\nfhw7duyAra0tzp07h3379iEwMBBJSUn45ptvoFQqYW5uDgA4dOgQ+vTpA0dHRyckNYgAAAM2SURB\nVMyaNQu7d+9GWFgYli5digEDBiAlJQXZ2dmIiorqVDvMzc0RHByMzz77DIsXL8Zrr70GlUqF/fv3\n47vvvsOaNWsAtKx/S01NRV5eHubNmwcLCwtUVFRg69atMDExaffYAy3JW0JCAu7evQt3d3cxLpPJ\nEB8fjzt37kiSvTFjxkAmkyE2NhZEBA8PD9y+fRtbt25FXl4e5s6dq9XbgAEDEBkZieDgYAwePBin\nTp3CsWPHMG3aNHH2c9GiRcjMzMScOXPw3nvv4dlnn8WFCxcQGxsLe3t7GBsbi8fp0X7QNEs3ZswY\njBgxAtHR0WhqaoKtrS1KS0uxceNGPPvss3jjjTe0tpvD4bTAkz0Opxvw/fff49y5c0hJSWn12bJl\nyxAeHo533nkH/fr1w6pVq/CnP/2pzbqMjY3x9ddfIyYmBjExMaisrES/fv3ENXNPP/20Lq20Yvny\n5Vi+fDn+9a9/oUePHnBzc8Pnn3+O+vp6ZGdnY82aNXj66acxZcoUzJgxA8nJyfjPf/6DzZs3Y8SI\nEUhMTER0dDSioqJQU1MDKysrrFu37rH+H+y7776LgQMHYteuXQgODkaPHj0wbNgwxMXFid8qHThw\nIBITExEbG4uVK1eiuroaZmZmcHJywvbt2zFkyJB2NeRyOWJiYsT1empcXV0RHR2Nvn37Sr5drK+v\nj82bNyMuLg579+5FXFwcjIyM4OHhgY8++giCIGj1NWjQIISHh2PNmjW4cuUKevXqhRkzZkj+n7Kt\nrS0SExOxYcMGLFu2DHV1dRgwYABef/11zJ8/X5zRe+GFF1r1g6ZkT19fH1u2bMG///1vbN26Fbdv\n30afPn0watQoLFq0SEwaORyOdvSIf1WJw+FwOBwOp8vC1+xxOBwOh8PhdGF4ssfhcDgcDofTheHJ\nHofD4XA4HE4Xhid7HA6Hw+FwOF0YnuxxOBwOh8PhdGF4ssfhcDgcDofTheHJHofD4XA4HE4Xhid7\nHA6Hw+FwOF0YnuxxOBwOh8PhdGF4ssfhcDgcDofTheHJHofD4XA4HE4Xhid7HA6Hw+FwOF0Ynuxx\nOBwOh8PhdGF4ssfhcDgcDofThfk/fxsvBZPOEEMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d670b7198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotProfits(conf,title=\"Our strategy that uses XGBoost - 11,054 matches\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we bet on ALL the matches, we loose money :(\n",
    "\n",
    "**But if we bet on 5% of the matches, we get a ROI of 70% !**\n",
    "\n",
    "Now this study would be incomplete if we didn't study the variance and stationarity of the ROI."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ROI variability study <a name=\"variability\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compared to other sports, the number of matches in tennis is rather low (~2200/year).\n",
    "\n",
    "If we choose to bet only on 1% of matches, you see the problem...\n",
    "\n",
    "We don't want to wait too long to guarantee our ROI. \n",
    "\n",
    "**Let's say in general we are willing to wait 117 consecutive matches. And we'll bet on a part of these 117 matches.**\n",
    "\n",
    "(in a grand slam there are 117 matches, occurring in 2 weeks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 216,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def profitsAlongTime(conf,matches_delta):\n",
    "    span_matches=span_matches=conf.match.max()-conf.match.min()-1\n",
    "    N=int(span_matches/matches_delta)+1\n",
    "    milestones=np.array([conf.match.min()+matches_delta*i for i in range(N)])\n",
    "    profits=[]\n",
    "    lens=[]\n",
    "    for i in range(N-1):\n",
    "        beg=milestones[i]\n",
    "        end=milestones[i+1]-1\n",
    "        conf_sel=confconf[(conf.match>=beg)&(conf.match<=end)]\n",
    "        l=len(conf_sel)\n",
    "        lens.append(l)\n",
    "        if l==0:\n",
    "            profits.append(0)\n",
    "        else:    \n",
    "            p=profitComputation(100,conf_sel)\n",
    "            profits.append(p)\n",
    "    profits=np.array(profits)\n",
    "    return profits,lens"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "According to the curve above, betting on 10% of the matches leads to an average ROI of 58%.\n",
    "\n",
    "We decide to bet on **10%** of the matches : the 10% with the highest confidence between 2013 and 2018 (~1100 matches).\n",
    "\n",
    "We have to check first that these matches are well spread between 2013 and 2018."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PP/00ZxIUoHo4th07diA2Nha//fYbfv31V6hUKvj4+CAqKgozZswwGi9bJBLh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NkdOjrlq/aDCK5juEnmBBG6OmOVYHv/oUmsXt5T+dsRMoekklFLm7oIcXFoeMa2zdTOtFQM51lS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\nIiIiYrNf2YiowY1vu2gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d66ce3630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "confconf=conf.iloc[:int(0.1*len(conf)),:]\n",
    "profits,lens=profitsAlongTime(confconf,117)\n",
    "fig=plt.figure(figsize=(5.5,3),dpi=120)\n",
    "ax = fig.add_axes([0,0,1,0.9])  \n",
    "ax.plot(lens,linewidth=2,marker=\"o\")\n",
    "plt.suptitle(\"Betting on sections of 117 matches\")\n",
    "ax.set_xlabel(\"From 2013 to 2018\")\n",
    "ax.set_ylabel(\"For each section, number of matches we bet on\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The matches we are the most confident in are well spread accross the study period.\n",
    "\n",
    "That indicates a certain stability in the betting market.\n",
    "\n",
    "Now let's see our ROI for the consecutive sections of 100 matches between 2013 and 2018."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 223,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CeTNmzMCwYcNQVlaGLVu28Nu5Z5W7RhwajQZPP/00Pv30Uzz22GOqficROBQWJHxm69at\nstuNRiO6deuGsrIyt31ZWVkAoKhHGDt2LADg6NGjqKmp4fU4wcZoNMoaRZzmorKykt928uRJAMDg\nwYNFhhDHLbfc4pNw/6effgIADB8+XFYonJSUhG7duuH48eM4fPgwevXqJdo/YMAA2Xa0bNkSly5d\nQlVVldc2dOjQAYBL9/P555/j9ttvFxlM0lxm3H3r37+/yEjiiI2NxeDBg7Fz507s378fnTp1QklJ\nCc6cOQMAGDRokNs5AwYMwObNm722VYmysjL+85WepxEjRmDFihU4dOiQ7P6BAwe6beMGMeEzwF2v\ndevWYcCAAZgwYYLIkOrdu7eqNrMsyw/gntoMuIyDqqqqiE09sWnTJly/fh2TJ08WhYp9Re49TU5O\nBiD/XHH7pO/B1KlTFb9D7p57Yv/+/QBc9z0qKspt/3PPPad47ujRoxW/HwCKi4vRpk0bnD59GqWl\npYiKipLNLQa4+susrCzs378fM2bMAOB6Vi9evIhXX30Vr7zyCtq3b88fHxcX52Z0EaGFjCvCZz77\n7DNRKga73Y5r167h559/xpIlS7Bp0yZMmzYNb775Jm8McALRr7/+GkePHpX9XIPBALvdjry8PFnN\nVjBo1aqVrIHCDZgsy/Lbrl69CkBZyyWni/IEN7P0JBZOS0vD8ePHUVBQ4LZPqR1c2xmG8dqGnj17\n4rHHHsPHH3+MhQsX4o033sCQIUMwcuRIjB071m0w5O5bfn6+osbsypUrAMCLprlzNBqNSCgcLLjP\nB5SvJfc7ysrKUFtbK8q5ptfrZdul1boc+cJn4MYbb8S0adOwefNmzJs3D0lJSRg+fDhGjBiBcePG\n8QO6N8rLy/kB3FubWZZFYWFhxOZpW7t2LQDw3kN/kXveuWc9MTFRcZ/w/gGu92Ljxo346quvcPHi\nRRQXF/u9EpB79vwRhssZmsKJjdPpFH2HVqvF66+/LvtZ3CIM4UKF559/HidOnEB2djYmTZqErl27\nYvjw4Rg9ejSGDh0a8MpPwjfIuCICxmAwIC0tDWlpaZgwYQJuueUWbN68GWPGjOFXANbU1AAAvvvu\nO6+fp8YD4y/S0I4n6urqAADR0dGy+6VhtUA/DwA/G5br/IPVOT7zzDMYOnQoli9fjuzsbGzfvh3b\nt2/Hyy+/jNGjR+Oll17iwzHcfbt48SK/WEEJ7r5xbdfpdLKGbKDU1tYCcF0PpXCc0KtQV1cnMq60\nWq3qdmm1WixevBgTJkzAmjVrcOjQIWzZsgVbtmyBTqfDzTffjIULF8oO9kK4ey9tm6c2RyLnz5/H\n8ePHkZqaquh1UYunUKva+8eyLObPn4+vv/4agGtCNHjwYMTHx0Oj0eDq1av45ptvVLeJe7Z96Uc4\nOOPdG9XV1QBcz/l//vMfj8cK+8rMzExs2rQJy5cvx5YtW3D69GmcPn0ay5cvR1JSEp588smgLVgg\nvEPGFRFUYmNjMWnSJPz73//G9u3beePKZDKhsrISS5cuxahRoxq5lergZpWcFkIKZ3iohRvgOeNA\nDm5QDVVYlGPUqFEYNWoU6urqkJ2djR9++AGbN2/G7t27MWvWLGzduhWxsbF8O6ZNm4a33npL1Wdz\n5zgcDlRXV/tshKr9fLvdDofDITvQCa9xoN+v1WoxZcoUTJkyBVVVVcjKysL27dvx9ddfY8uWLbh4\n8SL++9//ehw8hcadkuEkbHOo73+o+PbbbwG4QmBqdGihhrtPBoMBH330EUaOHCnav2/fPp+MK+4+\nVlRUBLWdQrjnNTU11ed8gYmJiZg/fz7mz5+P3Nxc7NmzB9u2bcNPP/2EV199FU6nUzbtAxF8SNBO\nBB1uYOBmYIBrVgXUh5AiAS7ko1Q6hNP9qIXzBnHhQTkuXboEwHPoMJhER0fjhhtuwMKFC7Ft2zZY\nLBYUFhbyHkZOLC4XplRCKELmQqvBJD09nfdccNdLCrc9NTU1qMkr4+LicOONN2LRokXYtGkTWrZs\niRMnTuDgwYMez0tISOBzgSm1mXsudDqdSGwfSXDGQKBeq2DB6RxHjRrlZlgBnt9FObhnOxTPNQfX\nVxYXFytO7NTQrl07zJw5E6tWreIz+69evToobSS8Q8YVEXROnDgBoL6TAFw5ogBg27ZtsufU1dVh\n69atKC0tld0v1VGo3RcIXbp0AQDFgfOrr77y6fOGDBkCwJV3R67TvHr1Kr/KaPDgwT59tlqOHj2K\nFStWyHrPkpKSeK8iN3hw9+3o0aOKBtauXbtEK7TMZjN69OgBwPVbpZw7dw49evRA//793a6DmnsZ\nHx/Pa/K+//572WN2794NIPBBPisrCytXrpRtV0ZGBi8S9lQihoO7p0pt5mr59enTJyh1ORsap9PJ\nV1To3r17I7fGBadjkluMwTAMvzJT6bmTbueepxMnTsj2VW+++SZ69OgRUMmmzp07IzU1FQzDKHrV\nTpw4gQMHDvDJmsvLy7Ft2zbFepDcSthQGoWEGDKuiKDBsizWr1+P77//Hjqdjl/mDLiWD0dHR+PH\nH3/Exo0bRec5HA68/PLLmD9/vlvSR85FLh3YhaEeocA5mIwfPx5arRZnz551M6Q+/fRTj3UP5Rg3\nbhzat2+P0tJStxCb3W7Hyy+/DIZhMHr0aHTs2DHg9suxfPlyvPbaa3jrrbfcBo6qqireKOEGx86d\nO2PUqFH8PZKGtHbt2oUnn3wS99xzD0pKSvjtnLbjo48+Et0fh8OBd955B06nEzfffDPvVRLeZzUG\nFhfa+Pjjj3lxL8fBgwexbt06aDSagDUmb7/9Nl599VUsX77cbd/Vq1fx888/A3BfZanUZo1Gg88/\n/9xtUUdOTg5f+89bIeRwJS8vD1arFRqNRrRSrTHh3qPs7GxRGL+2thYvvvgir3MrKSkRGfpKz2O3\nbt0wZMgQ2O12vPbaa6JFJLm5ufjiiy/gdDpx2223+d1mrVbLPwP/+Mc/3Pq+S5cuYd68eZg5cyY/\neSkqKsL8+fPx3HPPiVKicHArvMPF6G0OkOaK8JkVK1aI8quwLIvS0lIcO3YMubm50Ol0WLhwIXr2\n7Mkfk5GRgb/97W947rnn8Nxzz+HTTz9F165dUV1djezsbFy9ehVpaWn485//LPquXr16YefOnfjo\no49w+PBhmEwmvPvuu0hMTERaWhry8/Mxa9YsdOnSBRMmTMB9990XtN/ZoUMH3H///Vi1ahX++Mc/\nYtOmTUhPT8fp06fxyy+/4OWXX8azzz6r+vN0Oh3+/ve/Y86cOVi+fDn27t2LXr16oa6uDkeOHEF+\nfj7at2/vV+Z3tTz99NM4ePAgVq5ciR07dmDAgAEwm80oKytDVlYWSkpKMHHiRNGy8ddeew0PPvgg\ndu7ciYkTJ2LkyJEwGAw4e/YsDh06xN/vpKQk/pw77rgDe/fuxVdffYVbb70VY8eORXR0NH766Sfk\n5uaiffv2omvXo0cPaLVa5Ofn4/bbb0dSUhLmz5+vmEvs9ttvx/79+7F+/XrcdtttGDp0KFJTU5GX\nl4effvoJTqcTzzzzjGyBcV944YUX8Mgjj+D111/Hf//7X/Tq1QsmkwlFRUXYu3cvqqqq8NBDD8mW\nIpEyePBgPPXUU3j33Xdx//33Y+jQoUhLS0NBQQGys7NhtVoxY8YMtzxw/rBr1y7eUAbqPRZlZWWi\n5yshIYEvsF5WVob3339f9DlcWpXVq1eLFqPMmjXLLb9YYWEhAJcsQEm039Dceuut+PDDD3HlyhVM\nmzYNI0aMQG1tLfbt24fk5GSsWLECN910EyorKzFnzhzceOONmD17tsfn8bXXXsPMmTOxadMmnDx5\nEgMHDkRZWRl++OEH1NXV4cEHH+S91P4yZ84cHD58GNu3b8fUqVMxevRoJCYmorCwED/++CPsdjum\nT5/Op/Xo1KkTHn/8cfzrX//CbbfdhiFDhiA9PR0Mw+D8+fM4dOgQTCaTx1QRRHAh44rwGbk8VyaT\nCW3btsWMGTMwc+ZMPqQmZNq0aejcuTOWLl2K7OxsHD9+HHq9Hu3atcP06dMxe/ZsN/f97Nmzcfr0\nab48jTBc9sYbb+Cll15Cbm4u7Ha7qrIpvvL8888jPT0dX3zxBbKyspCQkID+/ftj7dq1/OzWlxVx\nPXv2xMaNG7FkyRLs2bMHmzdvhl6vR2ZmJubNm4eHHnqIT+AZCjIzM/H5559j5cqV+P7777Fr1y5U\nVVXBbDbz9e2EyRkB17LzdevWYfny5fjf//6Hb775Bna7HcnJyZg2bRpmz57tlu9Jo9Fg8eLFGDVq\nFL744gvs2rULtbW1SEtLw9y5c/HYY4+J7nVGRgZefPFF/Otf/8L58+dRWVnpVSv12muvYcSIEfji\niy9w8OBBVFdXo0WLFhg/fjweeOCBoOh++vTpgy+++AKrVq3iy6/U1dUhISEBAwYMwPTp03167p56\n6in06dMHq1evxpEjR5CVlYW4uDgMGTIE9957LyZOnBhwmwHgyJEjsivNqqurRdvT0tJ446qqqkpx\ndZo0PHXjjTe6GVfcyrVwEuPHxcVh2bJlePPNN3HgwAF89dVXaNOmDe6++27MnTsXcXFx+H//7//h\njTfewJEjR/i8Zp6ex4yMDHz55Zf4+OOPsWPHDmzcuJGvOTpz5sygGMd6vR7vvfceNm7ciA0bNiAr\nK4uvnTl06FDcfffdbrUz58+fj169emHdunU4efIkDhw4AJZl0bZtW9xzzz2YM2dO2HgUmwMaNlSC\nFYJo4pw6dQq33XYb4uPjeeEsQRAEQZDmiiAUsFqt2LdvH9asWQO73e62/8iRIwAg66UjCIIgmi8U\nFiQIBTQaDZ555hkUFxejqqpKVJerqKgIS5YsAeC5vAZBEATR/KCwIEF44Ntvv8X8+fPhcDjQp08f\ndO/eHSUlJdi/fz8qKiowbNgwLF261K+MzQRBEETThIwrgvDC0aNH8e9//xvZ2dkoKytDdHQ0OnXq\nhKlTp2LmzJlUs4sgCIIQQcYVQRAEQRBEECFBO0EQBEEQRBAh44ogCIIgCCKIkHFFEARBEAQRRMi4\nIgiCIAiCCCJkXBEEQRAEQQQRMq4IgiAIgiCCCBlXBEEQBEEQQYSMK4IgCIIgiCBCxhVBEARBEEQQ\nIeOKIAiCIAgiiJBxRRAEQRAEEUTIuCIIgiAIgggiZFwRBEEQBEEEEX1jNyDSuH69MiSfm5hoAgCU\nltaE5PMJ36F7En7QPQk/6J6EH3RPgk9qqtmn48lzRRAEQRAEEUTIuCIIgiAIgggiZFwRBEEQBEEE\nETKuCIIgCIIggggZVwRBEARBEEGEVgsSBEEQfuFkGBzPKUZVjQ1wMuicngCdlubsBEHGFUEQBOET\nTobBtqw87DyUj9JKK7890RyFcf3TMHlYJhlZRLOGjCuCIAhCNU6GwXvrjuHI+WK3faWVVqzflYOc\nggr89s5eZGARzRZ68gmCIAjVbMvKkzWshBw+V4Sv9+c1UIsIIvwg44ogCIJQhZNhsPNQvqpjdxzM\nB8OwIW4RQYQnZFwRBEEQqjh3uVyksfJEaaUVZy+XhbhFBBGekHFFEARBqKKq1uHT8dV1vh1PEE2F\nsDauli9fjl69emH+/Plu+w4cOIAHH3wQQ4YMwfDhwzF37lz88ssv/P7169eja9eusv++/vrrhvwZ\nBEEQTYK4GN/WQMVG05oponkSlk9+WVkZ/vznP+PEiROIiopy23/48GHMnj0bU6dOxcKFC1FXV4f/\n+7//w+zZs7F582akpqbyx+7Zs8ft/ISEhJC2nyAIoinSOT0BieYoVaHBRHMUuqS3aIBWEUT4EZae\nq82bN6OmpgYbN26UNYSWL1+ONm3aYNGiRejSpQt69+6NV199FWVlZdi6davo2NTUVLd/RqOxoX4K\nQRBEk0Gn1WJc/zRVx44fkAatVhPiFhFEeBKWnqsxY8ZgxowZ0Ol0svtfe+011NbWQivIodKqVSsA\nQE1NTYO0kSAIojkyeVgmcgoqcPhckeIx/Tqn4OahmQ3YKoIIL8LSc5WRkaFoWAGAyWRCcnKyaNuO\nHTsAAP369Qtp2wiCIJozOq0Wv72zF+68oSN0Es9UojkKd43pSAlEiWZPWHqufOXy5ct4+eWXMWrU\nKAwfPlzQQW6uAAAgAElEQVS07+2338b27dtx/fp1ZGRkYO7cuZg0aZLf35WYaAq0ubLodNqQfj7h\nO3RPwg+6J+HDA1N7YN+JQlwpdkUL4k1GLHn+RjeDi2h46D1pfCJ+anHu3Dncf//9aNmyJd566y1+\ne3R0NFq2bAm9Xo833ngDH3zwAbp06YLf/e532LhxYyO2mCAIomlgczD8/zVakGFFEL8S0Z6rAwcO\n4Mknn0Tnzp3x4YcfisTvU6ZMwZQpU0THDxw4ELm5uXj33Xdx++23+/WdpaWh0XRxM4xQfT7hO3RP\nwg+6J+FFnbU+j5XDwdB9CRPoPQk+qalmn46PWM/VsWPHMHfuXAwZMgTLly9XnV6hW7duuHr1aohb\nRxAE0fSx2p38/x1OKnVDEBwRaVwVFxfj8ccfx8iRI/HOO+/Iplb4+OOP8f7777ttP3bsGDp06NAQ\nzSQIgmiyOBlGZFA5GcbD0QTRvAjLsGBZWRnsdjsAwOl0wmq14vr16wAAs9mMd955BzabDc8++yxK\nSkpE5xoMBrRo0QIxMTH4+9//DoZhMGXKFDidTqxduxZHjx7Fm2++2eC/iSAIoilhtYmNKSd5rgiC\nJyyNq3nz5iE7O5v/u7CwENu3bwcALFq0CHv27EFlZaXsqr8hQ4Zg5cqVeOCBBxATE4PVq1dj2bJl\ncDqd6Nq1K/75z38GtFqQIAiCEIcEAYAFwDAsJQ4lCISpcbVy5UqP+++8805VnzN9+nRMnz49GE0i\nCIIgBNgkxhUAOJwMjFrlHIUE0VyISM0VQRAE0bhIPVcA4GQoNEgQABlXBEEQhB+QcUUQypBxRRAE\nQfiMrHHlpBWDBAGQcUUQBEH4gXS1IECeK4LgIOOKIAiC8BklQTtBEGRcEQRBEH5AmiuCUIaMK4Ig\nCMJn5DVXZFwRBEDGFUEQBOEH5LkiCGXIuCIIgiB8Rs64Is0VQbgg44ogCILwGRutFiQIRcKy/A1B\nEAQR3lCeq3qcDINzl8tRVetAXIwendMToNOS76I5Q8YVQRAE4TOkuXIZVduy8rDzUD5KK6389kRz\nFMb1T8PkYZlkZDVTyLgiCIIgfEZec9V8jCsnw+C9dcdw5Hyx277SSivW78pBTkEFfntnLzKwmiF0\nxwmCIAifkUsi6mSaT1hwW1aerGEl5PC5Iny9P6+BWhTZOBkGp/NK8fPp6zidVxrxzxJ5rgiCIAif\nsdqbr6DdyTDYeShf1bE7DuZj8tB20Go1IW5VeOJNj9ZUQ6tkXBEEQRA+I+u5aiZhwXOXy0WGgCdK\nK604e7kMXTMTQ9yq8EKN0QSgyYZWybgiCIIgfKY557mqqnX4dHx1nW/HRzpq9Wjt25hVh1anDm8f\notaGhsgyBQmCIIiwoDmvFoyL8c0vERvdvPwYavVo36jUo+04mA8mwp4tMq4IgiAIn2nOxlXn9AQk\nmqNUHZtojkKX9BYhblH44Iserdbm/gzJwYVWIwkyrgiCUKSpreAhggPDsrDJCdqbSVhQp9ViXP80\nVceOH5DWrMTsvujRfCHSQqvNy1dJEIQqmuoKHiI42GUMK6D5eK4AYPKwTOQUVODwuSLFY/p1TsHN\nQzMbsFWNj696NLVEWmiVekeCIERwYtT1u3LcZqCcGPX99cfJi9WMkQsJAs1H0A64vFe/vbMXbh/d\nwW1fojkKd43pGJGr3ALFVz2aGiIxtNq87jpBEF6h5IiEN5SMq+bkuQJcBtbEQRmibYnmKCx+YgSm\nDm/f7AwrwDc9WrRRp+q4SAytNr87TxCEIr4mR4y0FTxEcCDjqh67xFvnZNiIMwSCiS96tMnDMtG3\nc7LHYyI1tErGFUEQPP4kRySaH4rGVTNJIirE4RAbVzURJrwOBZOHZaJf5xSPx/TrnIIpw9rhnnGd\nZfdHemg1shRiBEGEFEqOSKjBprCEvjlprjikniuHk4Hd4YRBry7k1RTh9GjvrT+GI+fEEoNoow5T\nh7fDzUNdi2Jyr1a6nd+nUzJ+d1efiPYARp45SBBEyKDkiIQa5OoKAs00LOhwvxY1VnX5m5oyOq0W\nndMS3LZ3SosX6dEuFLgbV6ZofUQbVgB5rghCFifD4HhOMapqbICTcSs22lThxKhqQoORuIKHCA7K\nmqvm57mS89bVWh1IiDU2QmvCi1oZI/PilUqwLAuNxmU8XSiscDvGqjK5aDgT1sbV8uXL8eabb2Li\nxIl4++23RfsOHDiAt99+G8ePH4fBYMCoUaOwYMECtGrVij+msLAQr7/+On788UdYrVb06tULf/zj\nH9G/f/+G/ilEhNDc8ztxYtT1u3K8HhuJK3iI4ECaq3rkPFe1VgqXA0Ctzf06VNc5cK2sFq0STXA4\nGeQVunuu5IqCRxphOUqUlZXhN7/5DZYuXYqoKPclnTk5OXjkkUeQkZGBDRs24KOPPkJBQQEeffRR\n2O12AIDNZsPDDz+MS5cuYenSpfjiiy/QoUMHzJkzB5cuXWron0REAJTfyYVaMWokruAhgoNinisK\nCwIgUTtHnUJ4NKfA5a0qKKqGTeb6KYWdI4mwNK42b96MmpoabNy4EQkJ7jHbJUuWIDExEa+++io6\nduyIgQMH4vXXX8eZM2fwzTffAAC2bt2KnJwcLF68GH369EHXrl3x17/+FfHx8ViyZElD/yQiAqD8\nTi44MWqfTu5LpCN9BQ8RHJQ8C82l/I0QpbAgAdTJeK6AeuMq54p7SBBQNt4jibDsHceMGYNly5Yh\nOVk+/8WePXswatQo6PX1Uc2OHTsiPT0du3btAgDs3r0b7dq1Q8eOHflj9Ho9RowYwR9DEByU30mM\nTqtF+9Zm0bZWSTHNOjkiUQ/luapHXtBOxhWgbGRyxtWFAnnjisKCISIjIwM6nfwy1urqaly7dg2Z\nme4hiXbt2iEnx6UVuXDhAjIyMmSPuXLlCmpra4PbaCKiofxO7kjTLDgczTs5IlGP1UarBTmkqRgA\nCgty1AqE6TFR9c6QS9cqYXcwuCDwXGk19X1LU/BchbWgXY6qqioAQGxsrNu+uLg45Oe7vA/V1dVI\nT0+XPQYAKisrERMT4/P3JyaafD5HDTqdNqSfT3ghv9ynwzV6XZO/V3bJQFldZ2/030zvSZigYGRr\ntJpmd2+MRoPbNraRr0O4vCdCPVWfzsnYf+IqAMDhZFFYXoeComp+f+eMBJzJK+PPa+y2B0pYeq4I\noqGJM/m2bDouxr1DbWpU19pFf9fZnLA7In9GSQSOVUFLQ0lEXdRI3p3mSq3Ag9etXRKM+nqT4+us\nXAjnb7061suAKBVDI2A2u3QgnAdLSGVlJS+AN5vNqK6ulj1Go9EgPj7er+8vLa3x6zxvcFZ6qD6f\n8EzrhCif8ju1Tohu8veqrKLObdulggrVRVlDAb0n4UFltU12u9XqbHb3plzmPSmtqGvU6xAu70mN\ntd7I1LIsMlubce6yK0qw/3ghvy/KqEPrFvWRJCfD4npRFfS68PH/pKaavR8kIHxarhKTyYQ2bdog\nNzfXbd/FixfRqVMnAC6Bu9IxaWlpiI6ODnlbicjBl2KjzSW/U5WMbkTqzSKaJ4qrBZt4mhI5aLWg\nPE6GgU2QUiEmSo+ObeqdGgxb77bq0NqMaKNYZx3povaIM64A12rC3bt38zmtAODkyZMoKCjA+PHj\nAQBjx47FpUuXcO7cOf4Ym82G3bt3Y9y4cQ3eZiL8ofxOYmrq3A2pKjKuCHgof0NJRAGQoB1wyQiE\nREfp0LGtfMSoXWszjAaxcRXpua7C0rgqKyvD9evXcf36dTidTlitVv7vuro6PProo6iursYLL7yA\nCxcu4OjRo1iwYAH69u2LCRMmAABuuukmdO/eHX/6059w9OhR5OTkYMGCBbDb7Xj00Ucb+RcS4QiX\n3+mWEe3c9jW3/E4sy6JapogzGVcEQElEhVCGdnmk1yDGqEe71vKhtT1HryD7l6uibZG+YjAsR4l5\n8+Zh1KhRGDVqFAoLC7F9+3b+761btyIjIwMrVqxAQUEBbrvtNjz66KPo1q0bPvroI2h/Hfj0ej0+\n+eQTdOjQAY888gjuuOMOFBcXY+XKlWjdunUj/0IiXNFptRjTTxwebNmi+eV3qrM5RW57DjKuCEA8\n8AlFypRE1AXluXLPzm4w6PDpd2dlj62uc2DHQXGewUgPC4aloH3lypVej+nduzdWrVrl8ZiUlBS8\n9dZbwWoW0UyQzrh0Ok2z0FgJqZYJCQJkXBEuhMZVbIwBtl8XgjTLPFfkuZJFWldw/4lCrxUwhJDn\niiCaGFKtgFzn2dSRCwkCZFwRLoReBVN0fVqSZmlcKXiuWBnPb3NC2o/uO1GocKQ8kW5chaXniggM\nJ8Pg3OVyVNU6EBejR+f0hGYTzgoGZFyR54pQhmVZUYb22Jj6YaQ55rlyyPQPLOvqR4RZyQMl0vp1\nqfeurEo+fYcSSlUAIgUyrpoQTobBtqw87DyUL8rXlGiOwrj+aZg8LDOsX8Zg429nJO0UmqNxpbTa\niYwrwuFkRXo8YULdZrlaUMGgrLU6gmJcRWq/Lpyk6vVaWSPUE7YIT1hMxlUTwckweG/dMdmYdmml\nFet35SCnoKJZrHYLtDNy81w1w9l4FXmuCAWk4ZrYmGYeFlQwGoKhu4rkfl34+6MNWlT5aFxFelgw\nvO4G4TfbsvK8igUPnyvC1/vzGqhFjQPXGa3fleOWbZ3rjN5ff9xjskOpENPuYHzSTzgZBqfzSvHz\n6es4nVcakYkVlZKFknHloincY3+RruISa66az3XgUAqFBmPFYCT360LjKi7G4HNlB1uEl8Ahz1UT\nwMkw2Hko3/uBAHYczMfkoe2a7Oo3XzqjqcPby+6Xeq4AVwdq0Otkjq4nUt33ciiGBWuat3HVlO6x\nv7h5rqLrhxGnkwXLstBommb/IkeoPFeR3q8L+9GYKANG9ErB+l05qs8nzxXR6Jy7XK6qJh7g8t6c\nvVwW4hY1Dr52RoxCCKNOplP0prsKhscsnFAStNdYHRHzG4JNU7vH/uIpLMgCsvnRmjJKfUOgWdoj\nvV+vE0QAoo06VRUwhCVwKEM70ehUKSybV6K6iZZmCFZnJOe58mZcRbL7Xg5hKgahZwJous+PN5ra\nPfYXq+T9EArageYnalcKCwbquYr0fr3WKvRc6fkKGHfe0NEtRMhVwGibYuK3URJRotGJi/HtNkoH\ny6ZCsDqjOptvnqtId9/LIfRctUw04cKVCv7vqho74k3GxmhWo9EU77G/SD0KsdES46qZidoVPVcB\nGleR3q8Ltasxv3qkdFotpo1oj8nDMnHucjmq6xyIjdajS3oLaLUa/JJbyp9DYUGi0emcnqBaLJho\njkKX9BYhblHjEKzOqNYq47nysGIw0t33cggNz1ZJMaJ9zVHUHk73uLHF9O6CdvF71NyMq1AJ2iO9\nXxeWv4mWpKTQabXompmIAZZUdM1M5CciUQZhWDCyjavwMnUJv9BptRjXP02VWHD8gLQmO6PmOiM1\ng6CnzshXz1Wku+/lqBF6rlqIjSullYRNmXC4x+EiphcOenqdBlFG8UKP5pZIVFnQHphxEOn9ushz\nFeV5MRCHUWBc2UhzRYQDasSC/Tqn4OahmQ3UooaH64zU4KkzqpXRXNk8GFeR7r6Xo0pgHCTFR4uK\n81Y2Q+Oqse9xOInphcZVlEHnZtA1N82VXeH31igsCvGFSO7XhZ6rGKO69yHKUP8sRbrnioyrJgIn\nFuzbOdltX2y0HneN6RiWieaCTTA6I18F7ZHuvpficDIi0bIpSi9aEdYcPVeNfY/DSUwvHPSMBh30\nOvEkpbFWSzZWuFTYNwgzUATquQLq+/X01Fi3ffEmg+p+vTGujXS1oBrEnqvINq7CfwpNqEan1SJV\nEsIBXAbHlGHtG75BjYBOq8Xjt/XAb/++C1LpR6I5CuMHpOHmoV4ytPuYiiHS3fdSpEvIY2MMMMcY\neI9Jc9RcNeY9DjcxvdDwjjLooNNJPFcNrLlqzHApy7KiMKjZZERFtauGXjAytAOuZ0/Ocz57Snev\nE8nGujYsy4qMS6nmSommpLlq2m6MZsi10lq3bWWVvhXMjHSultS6GVY6LfDGb4Zj6vD2XjsTf1Ix\nRLL7Xoo0x1VstNhz1RzDgkDj3eNwEtMDYi1MlEEHvcS4cjRgWLCxw6XS3ypcRRuMDO2Aa7Ij1697\n8yA7nY13bWwORpTvTH1YkIwrIkyRewlLVHbMTYVL16rctjkZdUnpGIaVfantTs8vOue+H9q9pex+\nvU6DR6f1iIiwbLVEvB0bbRDlMmqOYUEAojw9Qg0aABj12pCF3sNBTC/E6hB6rrTQNWJYsLHDpdJJ\nV0Js/XsSLM/VpWuVstsrajxPmjf8cL7Rro3U+0+CdiKiYRgW18vcjavSyrpGaE3jkXtVvjOqrPXu\nwZPzWgHePVeAa/DNbGXm/xZGZhxOFgfPXPf6GeGAm+cqRo84U/2g0RzDghxcnp5umWJNVYc2ZlVe\nUX9obDG9FGHNN6NRB30jCdqDVZEhEKQrI82xwfdc5RYq9GfVyu+h08ng6325qj4/FNdGuigomgTt\nRCRTUlEnq3coqWhmnqur7p4rAKhUURdPLg0DADhUVnQXGrcd2sYjo2Uc//c32XkRUehXaFzptBpE\nGXSIiybjSkiNZPAo8zDQBUpji+mluK0WdPNcNYxxFQ7hUumkSxgWtNqcQXnPLypMFj15rn7JLUVx\nhbpJdSiujbQfjVbpuZKGBdkILqVEgvYmxFWZkCAAVFTb4HAybtqIpgjLssiTCQsCQGW1d8+VXBoG\nwHMqBiHXBMZVyxYxaN86Hmu3nwUA5BdV4/0NxwCEd6FfaekbjUYjCguSceUu+i+rtIasYHG4LZiw\netVcNczEIRzCpdLfmhArrlxQa3UiLiaw91vJc+XJuKryEjKUEuxrI10p6Y/mimVd19egV2eYhRvh\n1asTAXGttEZ2OwtX598cKCqvU9Q6qBFiK3mu1IQFAbHnKjkhGsdy5DUP4VzoV+i54oTswrBgda2j\n2RXnlSINnVrtzqBpbOQIpwUTUs+VeyqGhnk2wiFc6ua5khhXgYYGrTYnCovr+3Xh53sKC8b5WJ4q\n2NcmGJorILKLN5Nx1YQQeq6kL0tDiNobKpeKp+/Jk7jQYwRLgCtVzObqFHLTqDGuHE4GxeX11/lK\ncQ2OXyjxeE6ocxP5c0+Es1iutInQc8WwbEgNiUigVmamrzZE5Q+cmL5/F3cDiyt621B57NzDgo2j\nuQqHcKm0LJbUuJJ7Tnwh71olhFezd4ck/v+ePFfd2yUiOT5a1XeE4toIs7PrtBrVUZMoiXEVybmu\nKCzYhBCuFOyS3gJHzhXxL2ZJCEXtDZVLRc335Ar0VknxUUiINeLCFZfBVaFCF6PouVIR6iipqBN5\ndM5cUqdjCEVuokDuichz9avWSmhcAa7QoLRgb3PB7mBkw8SlVVakpcbJnBEcdFot2reJx6GzRfy2\nnu2TMP+evg2aO80mSiKqhV7bOKsFwyFc6klzBQS+YlAYEjTqteiS0QI/Hi8E4JJ7KIWidTotbh7e\nDqu/Oe31O0JxbYRhwZgovepwudEg7pMiWdROxlUTQqj3aZNiwoVCI8qrXLObUM2quTwzckt+udBX\nTkFFwLNqtd/DCDr2zJZmkbGjZrWgUlZlNZ6r62ViA1aNgB6oF5R2zUxUdbw3Ar0nQj2RJ+OqVXCa\nG3EolTUpbYCFI1LdYLRR1+BJaUWeK5nvb8gkopOHZSKnoAKHzxUpHhPKcKk3z1WgYUHhyueMlnFo\nEVfvqXMyLg+ySWGSc8eYTjhxvrhRro0/2dkBuNWpjGTjisKCTQSGZUWeq1aJJiQJXOahWjHYUHlm\n1H7Pmcvl/N+ZreJgFia/DGC1oBrjSmjcSnUo3gimoDTQeyLMYxUrExYEgCqVhmNTROlelVaF3riS\nhoIaY/CRZmjXaMRhn4Ys3MyFSycNyZDZpwl5uFS6itgUpRddi8A9V/We+HatzYiPFb+HFR7eQ52u\nPi+btDeKi1FfOscfhClt1KZhAACjRLxuVVhgFAmQcdVEKK2wijq1li1ikGSuj7mHwnPVUHlmfPke\n4Uud0dIsyjujZrWgcp4r7y/5dYFxK5xhqiFYgtJg3BNh0WZO0B5t1EEn8FA05xWDSt4IXxaN+KtP\nlE4QGsW4kqwWBMSTiYYu3KzTatE1w92NqtNqMGVYu4A95p7uk3TSpddrYBKIt6WrSn3BZneioKia\n/7tdK7Nb2LHCS5+m02px89BMSO/I9LGdQpaXDRAblWrF7ICM5krlQqJwhMKCTQTpSsFWSSaR2LNE\nZc4TX/Anz4w/oS9fvkdIu1ZxuFZWf13UrBasDcBzJVwpmJYSCyfDqmp3MAWlwbgnNXXunisuHUP5\nr515c83SDngIC6q47oHqE6Weq4bOYs0w4lp63GDoErW7DL2Gri0IAPlF7ulXbA4GVbV2mH1cOQeo\nv0/Ca6HVaKDTahETbeA9SoF4ri5frxbJGtq1NsNsEnuu1CzSkZsIhXpBilRzpZYoo0RzRZ4rorG5\nKhjYjXotEuKMSIoPreeqofLM+Po9gMs9n5wQDXOMwHNVY/OalC6QDO3CsGCrJBPG9U9T1dZgCkoD\nvScsy0ryXNV35nFUXxCAh7Cgl3csGHXwpJ6KhvZcSb+PWzov9Go2inF1vVp2e1G575NKX+6TsF/Q\n613XQOS5CsCIEeqt9DoN2qbEwqDXiTxBnsKCHHJyiFCXSPJXc6XTakVe0EjWXEWs5+ry5cuYMGGC\n4v5FixYhOzsbGzZskN2/b98+JCUlye6LRK6V1A/sqYkx0Go0Is9VKBKJNlSeGV+/B3DprTQajUij\n4HCyqLM5Pc6kpPlZOLytFmRZcemh1BYxGNu/bYOLbQO9J3U2p2i2HCv4PKov6EIp1ONNc+WLFm7q\n8PZu+xiGddO6NbZxxZUrMTSS5orjsgfjqkObeJ8+y5f7ZBL0Jdw1EG7z17hyMgyOnKsvl5WWEsv3\n3WaTEbVWV1+jRuogl7JByfsaLMRhQd/6pCiDDg6n63xKxdAItGnTBnv27HHbvm/fPrzwwgsYNGgQ\nsrOz0b9/f7z77rtuxyUmNq2lTlcFYcGWLWIAuFIRcHCJRFN+3RcMuDwzoQ59+fI9HFyNP2lIoKLG\n5tm48tNzVVlrF52b2iKGF9tuy8rDzoP5osE3NlqPm4dm4uahwc3QHug9kSbHNJHnyg2lgamyxg67\ng4FB734/fdXCyaXmqKq1u2lnGnrwcTOujFxYsPE8V06GQWGJknElX7XCyTA4d7kcVbUOxMXo0Tk9\nATqt1uf7NHFQOv+3/tf7LuxffA2/KYUjr5TUYPPei5g8LBPxsUZ+8ZK34s2AfOgw1J4rYaULtdnZ\nOYwGHd++SE4iGrHGlU6nQ2pqqmib3W7Hhx9+iIceegiZmS5vgMFgcDuuKSIKSSWaAMAtwV5JkI2r\nhsoz48v3cKSlxAKAaLUg4BoAPaUQUOoMvRlX1yWlh1omuq4zV+h38rBMzH/3R17/cPPQTFnvRKAE\nek+qJWFFoWcrNgw9V0qDZCgRDkwajatMB0dZlRWpMu9YMLRwcgNpQw8+Ug2MWHPlwtnAnqtrpbVw\nCET0Br2Wf1+lYUFvWqqObeN9uk+FJfWTWs5z5a9x5SmFis3O8ClUhH2aN0E7oBQWDO37K14t6Fv5\nGmGWdvJchQkrVqxARUUFfvOb3zR2UxoUhmVFg3vLJFfn3iIuChogpIlEGyrPjJrvEbLuh/Mor7Zh\n/IB00XZvAlBFz5WXAUMYEtQAbtmRdVotUlvE8MZVuYpO0V8CuSfSTldoUAnFtI29WrChEtfKIQwL\ntkw04apggC2tlDeugqFPlAsBOZwMGIZtsFxXUgE9t3Re34iaK6neqnu7RBz91UApEuSeU5P/rX1r\ns0/fLTSeOI+lSTAh8WW1oNpwZIc29W30W3Plh47VF4Tyimifw4L1720ka66ajKC9pqYGn3zyCebM\nmYO4uNBlSQ5HyqtsoiWrrX7t3PU6LeLj6sNioRC1c6EvOV2DXhe8PDPc90g9UUpU1NixflcOPtl8\nEgZ9fcfvLdeV0LgS6tPsXjwEQs9hUnyUbGioheBelFWFzrjirtWdN3SUHXQzW8apSiAKiPUjQnF7\nY4YFnc7AheGBINTRtE02ifaVKeiugqFPVBpIG3IAUgoL6vVCzVXDGleXr4urMmS0rO//hWFBNcbL\nRYUiyUoI369APFe+hCOvCGoNqlktKHdMyDVXAkF7jI+eK2E6hkg2rpqM5+rzzz8HwzC49957RdtL\nSkrw3HPP4eeff0ZVVRX69u2Lp59+Gt27d/frexITTd4P8gPOre7P5+eXiNMwdGmfjMRfw1ItE018\nlvYaqzNk7Zcr5JvSIgazpvQI2nc4nYzopbVktPBaYubwuSLERuthd7jOc7Cer7HwZW4RZ+TDCk6G\n9XheuWDga5MaJ3tsq+RY4NfSJVV19pDdC44HpvbAtv25blnna6wOJCfFypakYAWDRUyUHqkp9QNV\nq19DrYBr5tuiRYzqshbBQqfTYt3351TN8H84Woi7xnUOehuEE5nURBMS4uorIdQ5GNn7Ojg+Gsnx\nv6BYRUqU5IRoDO7dVrQCDwCUhulokxGJKuvIBYqhoEL0d6vUOOh0WtFExGDQhfzZFnJdEPpr3yYe\nmYKJXnFFHVq0iAHDsPjhcIGqz9NqADXOt+SEaKQKfmd0tB6JiSYkC7bV2tT1ucdzilVPfoUTwMpa\n+X5EOJ7UyUwM1bbLH5xORuThTEky+fRdsYIV3tBqG/RZCiZNxnP1n//8B3fddZfIaxUXFwen04lB\ngwbhww8/xOLFi1FeXo777rsPOTnq9TvhjnAmY9BrkZxQ39EK/69mWbLTyeB4TjGyjl/B8ZxiVfqJ\nqhqbW8FkwOWS9zdxqBxSbUWhxKhUQmgwlXtZ0SWcaSYIEoHavCQRFYaGWifJdwZCDVxDlEqpszlk\ny901oI4AACAASURBVPkUldeJ2itEGO6Lk+TUESZkdTgZxRBqKHE6GWzbe1HVsdv2XQxJiEp4jWJN\nBiQn1IcBixXeMa7WmxomD2/vZlgBys9uQ87uhUvstZr6UJhQ0O5ooNqCHMK+J7O1GS0Fg7HNzqC8\nyoZfcktVGbaAOsMKcN0nu0TrBYg9vGrDglUqPFDy59m9rs6U02VV1dq9pqXxF6m3Tqk8jxLCEjhW\nhbyDkUCT8FwdO3YM+fn5bqkZXnzxRdHfXbp0Qd++fTFmzBgsWbIEixYt8vm7SkvVDei+wlnn/nz+\nhfx6701KQjTKBa7wOEF44WpxteLnB6JhOXq+CHLvqcPJ4OLlMtWV671x+oLYW6FGzOlqR33jrpfW\nKF4DhmVFBoOwTpjNzni8NwWC0ESCySB7bJQgdFJSUYeSkuqQen48GZ/Zx69gdJ+2btuLBOfEGHTi\n3yHpxC8XlAd1gYQa8ktrFQ0YKcXldfjpWEHQajZyVFbXvx86APGCUHVhkfI7NrZvG1W13sb0aS37\nGdeK5T/3elE1ohtIc1UizKdn0KGsrBaJiSaRMVhTYw9ZPynF7hBnMU+Oi0K0pPTUubwSlFX6Zry0\nb232GCLk7tOKbfWFkTWsq/9mBRMxh5PBteuVMOi9hMYCWARwqaDcrSKEcDwplTEqGYbFlauVPqdJ\nUIP0/XTYHD49D1rBmtjKaluDPUveSE31TY/XJDxX3333HRISEtC/f3+vx8bHxyMtLQ3Xrl1rgJY1\nDNKagkLUlMAJNLnhmUv19fykebSUlkL7g9DbEmXw79H1pLmSroRKEGikPK0WtNmdIg2VnKAZEJfE\nsTuYkGdJlt7LBIGxeCZPPpwqFLTHSvRtbvUFQ6zbkMPXGX4olpwLNVemaD1aCD2SHkI7nBaud0f3\n/HpxMXqv+kQlfU1Deq5skrqCHHpBm0OldZPjSnGNaGKXnhqHpPhoUS29orI6nzVvd4/thM5pCW7b\nE81RovskXOjC9X0miV5OjfeKS6GiBmlxaG+TTKXnJlQrfqVVLnxdLRjVRFYLNgnjKisrC3369IFO\nJ7gpNhv+8pe/4JtvvhEdW1ZWhry8PLRv376BWxk6rgoSiHIpADiEua64RKJSAi30e/Zy/UDdu2MS\nhM4Y4WqdQCksFYrG/dOYeBKASo2d+Nj6a8ewrOKgcV0yU1M2rsSdYmkIRe2AuNadVqPBwK71KUlO\nK2jVhMaIVFTtZlw1gqg9zsdSJsGq2cjBMKwo1GqK0ovDvV50MzqtFu1buy/+GNWnjddab0qDaIMK\n2gWTDJFx5UXQ7m8tRW8IVwpqALRONsGg14oM3qLyWp+Ml0RzFLpmJoo+AwB6dkjC4idGiO6TsHCz\nQSbPFaAukSiXQkUNN/QVe5w9TRgdTkZxghGqXFd1EimCr94xo0jQTnmuGpWcnBzccsstom1GoxGl\npaV48cUXUVtbi4EDB+L69et4++23odPpMGvWrEZqrTtOxqVzqqqxAU7Gp1w9DqdTlEAvNUFsdAg7\nFLlEooEmN7Q7nLhwpV7k2q1dIvKuVqL4V01RMD1XhcXiIqZ1NqcqEWhMlI4fED11RFINkXSGaLMz\niIlyvy9KOa6kSF335VVWPh9XKBCuXEuIM6J7uyTsOOi610XldSgqr0VKgritwtmsVCthitaL8jpJ\ns4U3BN3bJSI5PlqVfiaYNRs5pANlbLQBiXH1A0BZlRUMy0LrIdwrN9jmFrrXxpOilDCyIWf3wu8S\nDoJK5W98lRv4mrcsXxASTE2M4Q2+5IRo/vuKy+v8yv9WKkldE23Uua2+lfNc+WNcAa4UKj8eu4Kr\npcp9Zr/OKbhlZDts3ZfLLyLy5Lny5J0K1YpBd8+V/8ZVJHuuIt64YhgGFRUVMJvd46FvvPEG/vWv\nf+GDDz7AlStXEB0djYEDB2LNmjXo0KFDI7RWTCA6J+7c7T9fFs0Uv/zxImptTv5cYVgQcE8kGmhy\nwwtXKkXfb0lvgYOnrwuMq+B5roSdTpuUWLRNiVXVWfZol4Sfz7hKSXD1BeW0TtJOIUHiabI7GciZ\nTcIcV6YovUjQKiTOZIBOq+EHH6Vl+8FCeF9bxBlhyRCHOU7nlSGlt8S4EnquJKEUrUaD2GgD77Fq\nDM8VJwxf/c1pr8cGs2Yjh3sGe/E1cjIsKmvsohCsFLkw0cXCCq9GWVikYhCGBQVFduWSiKrJK5VT\nUIHf3tkLABT7wjH92qJzWgJqrU43gytfoHUUTlRSEqJx7rJLrsB5licPy8S5/HI+B5Ycwvxv0n5R\n7jrbZTxX0mdCbfhfo9HArrBwJtEchfED0viKDmZTfRF1T1naPU0mQ+W5kv5e38OCTSPPVcQbV1qt\nFqdPy3e0MTExmD9/PubPn9/ArfKOLx2P1MDydG5VrV10bkKc0WMi0UCTGwpDgtFGHdJbxiIlIRqn\nL7m2yRlX/mTVrrM5RJ1d6yQTBlhSVCXLHNm7NW9ceaovKPVcJUg8TQ4F3ZUwx1WqgtcKcBkn8bFG\n/neEMtcVIK511yIuCmaTEWmpsXwo5fSlMozs3UZ0jnA2GydjJMbFNJ5xxXl41dSuC3bNRg6pYRQb\nrReFxwCXd9iTcSU32NZanbhaUoM2yfKeTKvd6aYJ5JAm9gwlwsFOFBaUKX+jVm6wNSsXOfkVin3h\nxt0XRNuEk0+h5yottX6luNAjy/VBOq0W04a3lzWupMYLw7BuInibzPUXeq74sKBRalypMxB+yS1F\nieA777yhI9qmxCI2Wo8u6S1EEwWzyajSuPLg1QqR56pOZIC7e/u8QXmuiIAIpIirr+cmxBn5gVya\nAiDQ5IZnL9eL2TuluYwkcfqHesMjEE+dUFcGuIwrUe0+mc/kOsu8q+KQi1J9QalWQDpAKonahZ6r\nll5Wz7WIExpXofVclUmuBwB0y0jkjavjOcX4+fR1kYFbVScWa0sR6q4ayrhSem7kCFXNRg63JKvR\nBre0CaWVVrTzkOlbKRxz4UqFonHlaZBUMrpCgbJxJdZc+SI32JaV51NaD27yefZymWjylp4q9lxx\nFJfX8V7Bi4XiPF2AS6v1+uPDRCv6yqttbrn75PQ/Is/Vr9dAq9Ug2qjjf5O38Bs32dy0p96IjI81\n4uahmW4LhOr3G4Bf6zpXVit/vjTZbwvBWBA6zZX/CUQBMq6IAAhE5+TPuYnmaP6FKpEMToEU+mVY\nlne9A0CXdFfYSSjoLqmwgmFYsGD99tQB4sLUgHztvnOXy1Fd53Cb6amtLyjM4aPXad0MMDXGlZKY\nncOlu3It8W5IzxVnXHVJT8D2g5f5739/wzF+/5h+bUUDtVx4s6GNK09eWg6dtn4l++RhmZgyrL3s\n5wSjBqFbWDBKD61Wgyijjr92Uq2OFCUNzoUrlRjRq43sPml4R6vR8IO/txxswUToJYtS1FwxPskN\n/M2XdiynRPS3NCzI4XC6cl0lmqNE+lAOFkBFtR3JCfW/R67tcgO90IsqFPXHROn536XkufI0aWiV\nGANPWVriBQs7PHmuhHqsuBgDzCahcRUqzZWwrqDvJoZYc8UoyjjCHTKuGoFAdE7+nJsUH4ULV1zb\nSiRCYH8L/ToZBnuPFYoGCs7wEnZsToZFaaUV+04U+u2pA4BCQY6fpPgot1CMTqtVzGdklqwwU/IC\nCDv5mCid6CUH5OsL2p1OUSqMlATPqxiFonZvCU0DgWFZPms4971OhsHuo/JZquXCL9JUDIDYuGqI\n4s1qvLTC2yIN5QS7BqHweY+Jqg95JJmj+GS+pV7uq5JxdVFm4OeQipaT4qN4r01jlb8xKniunE7W\nZ7lBoGg1QCtB8l5p/rXi8jokmqOQUyB/jYsr6kQedzkD2avmShAaNUXp+edN7n57mzScvVyO99cf\nV5xsCvs0T15NoVFuNhlEkQdf6h76Qq3kHfEVad9uczBu2yKBJpGKIdIIROfkz7nelopPHpaJfp1T\nPH4Op2FxMgw2772IP324D8u2nRIdc/qSa4m1dAXatdIan7xtclndC0u9Z0BXIsqog1EgklQSeQo7\nhWijzq0+oLAj5a/DB/tEq6PW78rB5r0XFZeaJ4jqC4bOuKqssYva1cIchW1ZeThxsVT1Z8ilMRAa\nV6GuL+iLl5ZDaNgEmr9NDuGAJKy7KDSavU1+hJ8hrIOXe7VKUU8m9E4Y9FrRSlarrfE1VzqJ5spX\nuUHAaDT4en8efy+TzFHilDDltaiqtSuuxJOuPpV6+AH58KtDpLmqvx4xgnenVsaICTT9TXxs/XtY\noTIsaI4xiLzRoZocCSMA/niupDkMIzU0SMZVIxCIzsmfc4UrBuU6DWGhX6nzNS7GwCfNA6A4WAHA\npj0X8f764zDH6kVhghMXS3z2tkkRJhBt5aNxBQDmGO8zvTqJO9soMa648Itw0C6XeBS4BQVKg7Zw\nEC6rsoWsBEWZ5HrHm4w+GyqyYUFTw3mufPHScgiPD3QAk0MYShGmqlCb68rJiMsG9Wxfn1DU4WRE\neZuECCcE8SZDo+lSRMaVYLWgWHPF+JRXKhgwDCt67/Q6rej7r5fXuemthG2WZhVXGxYUTrj0Es8V\nh9Rz5au0Q26yKfVcKfUjwr7ObDKKdJShWy0ojAD4ERaU6LTkFhJEAmRcNQK+JrQT6pz8OVdNIlGd\nVoubh2ZC+orePa4TnzRP7WD1v58uizs2HxOJSl96lmVFpVxa+1HIUzjTU/RcSSq5G6RhwV870kAG\n7RaSrO+hytLu7qmp89lQ8SZoL6+2BzUhpBR/QkvcbwzGACZHjUKSVbXGlVR/Y8lsIZqIyGmCAHFY\n0GwyirNYN6DmyqqUoV0YFmRYn5Ji+iN6VkL43qWIaj7WikKCcTEGtG9Tv+hA6rmSu4dOhnXrOx0y\nqwUBsVEhfcf9kXZIEZXmcjCKBnal6LkxiEL9IQsL2gIUtEtKBVk9VMcIZ8i4agR86XikuXr8OVdq\njP18+prsgCgnUOZc2r4OVkLtka8GhDQcVVFjFw1KrZP98FypEIAKVwtGR7l7ruwOJuBBW5pINFRZ\n2oXhsSijDnaHbx4yrcY9P42TYfBLbn1Y0eFk8H9rDuFPH+7zGAr1F39CS+VVNp8F1UoDmByisKCC\n58pTuFe6ciwh1oh0QWgwR8m4Ejyz8bFGUZi7IVcL+pJEVK3cYFKQU2Zw712KpGj9BYFx1aFNPFIE\nVR7cjCuFJLXSpJZiz1X9PfHkuQo0/Q0gFrQDyolERWFBk1HUtzZEKga/BO1SzxWFBQlf8EXnFMi5\nTobBoTPiPFAfbTopOyDKVk//9QX0dbASzuJsdqffnjpAHBIE/A0LevdcibUCOmg0GtHvsDsCH7Tl\nsrSHAlEahrgonw0V7vdzcKHQ/Sevuh3rr37JG/6ElhiWRUW1PSgDmBxC40g4gArbWWt1Kk4opAOt\nKVqPDm3qy+EoidqlHojGqr9mVVgtqJdJIiqUG0gnKtFGHS83mDq8ndf+zBe4905kXJXViQzXDm3M\nIgG7NCwoJ58AxL+fYVlRAmW1nqtA098ArtCwEKUEs1JBu3BC0BCpGKKDIGhvyMlDMCHjqpEQdjxy\nA8itI9srrhThzr19tHuWeWFhUcClkfo62z08JTcgyhkd3CDl62Al7FyKK6x+e+oAiEKCep1GNONU\ni5rVNXIzLpFx5WQCHrS5LO0coRK1S9Mw+GqoSFdYhkK/5A1fvLRCSiutPg9gxeW1qgzDaoU8YNJr\nq3Rf3fJkRenRQRCeyi+qlh1MKkSaK2Oj1F9jWVZkyCkJ2oUGB5cqpZekWHWfTsm83IDrz24b1T5o\nba2uc4jCgtfKakX9W8e2CaL6pMUVdbxuiWFZxfsnDL85JSFCg9Bz5WFVXiCyEA63FdAyE2Mnw4p0\nkVLPVa3VoToc7guBaq5I0E4EDNfxvPHEcDx9Xz/Rvvat4z0uEddptRgrGXjuHd9ZVFjU1wFRLlxW\n9es2XwcrYTLNkso6TByc7nV22qdTsqynTmhctUw0+VXSxKxCcyX1XAGAURD/tzuYgGedXJZ2jvIQ\nhQWFnqsWcUafDRWhcD1U+iU1qPHS9u6YLPq7tLLOZ2Ny7fZzqsKbiporabhXwfMhHWhjosSeK5YF\nvj1wyU3LVlHjQXPVQIOPzcGINJnKmiv36yct5iwNw+m0Wgzp3kq0beZEC+4Y3cEvYXxstN5jWpQO\nbcxIFhhXNnt9geOqGrts8WlA7EWR5r1T67kKRBbCEWXUia6/XN9dWWMT3S9XKgaxx0tt3UNfqAtQ\nc2XUu6diiETIuAoDdFotbuiXJuoMTl4s8XCGC+lLa8lo4XeyUYZhZWc/nA7L19lWD8EqKJZ1LRf+\n7Z290LNDkuJ5I3q2ljUohTmuWnkoL+MJ6WpBudU1cjMug0EcFgzGrFMoaveWE8lfRKVvfm2vGkOF\nQ9gJh0q/pAbOqzGmX1u3fZyX9nfTe4sMnZJKq19eLzXhTeFgJAyxmGONIo+konElOD/KoINep0Wr\nxBjRuRt25Yi0bHanU1QkOyHW2Cj116TfI2yDXPkbIVIDsEhmkYu0VNbg7i1xy8gOeOOJ4fjjff1k\nw2NycO9dSgt546plixiYTUZRWBCoDw16etaF18AuMcDExlW9gVBrdbhle588LBPdFfLycXgr4WQW\nTIDkwoJSyYHZZHSrFxps3RXLsqJ+NNoPz5VWK5ZjUFiQCAiNRoM+goFPKBxWQmpcCTUg/gyIci8o\nFwbzdbbVUmIEFf1amV44iKSnxoryPikluLwaQI4rDmFHxNUXlCLvuRIbV8GYdUrTMYQCqeYK8B6K\nFuJwMryBESr9klp0Wi16SYzyZ+7tK/LSigTlv/52X4xJIUrhTZZlJYL2+vdNq9GIjWYVnitTtB5O\nhsEHG47LGiScsffuf4+J9ptjGycVg3RJvFB4LJwUOWW8PtIEvOXVNhmDqz4HVZRBx+skdVoturdP\nwqQh6oTvwoU8coWwO7R1eQqT48XvAGfcSeuvChEZV5JVmmJBe31/w8LdQNBptYoTTaG0w1P0QugB\nl5sYSzW08RLNFQBUBznZq83BiAxJaZ1FtTSFEjhkXIURfbrUDwT5RdVe9TjS5HTCxHX+DIhyrmXh\nzMYXIX0Lc5TIkCoqqwXDsCKvxuDurTBxUAb/94mLpcg6UYifT1/nwyJOhhFlQPfXuIqP9Z6lvdbm\n7rkSalu4MEAgixEAcUHoUAjabXanyMARGh7CUPRz9/fHuP7uHiEAOHmxlPec+Jpl+f+z9+ZxUpTX\n/v+n956eHRj2GUaWYREXUIIoSsCogAsmMRpN3FBjYty9P8UtCQYxxGtcEq4aUW80y3VDbsSL+BU1\nSEAFV1BAYdiGdWD2vbu6fn801fM8Tz3VXVXT+5z36+XrJdU93dVd1U+dOudzPsdshsEKrJ9Yfp4H\nxx7TlwtcSwtZd+3Id6oFk98Z29/y+8nKmx1dCnfhED8ne6NQvb9Jmv3iMl8+t6nS/aYdfBY7XZor\nfebK2ERUJCjZR7E0WMtkrvqV+HUjT6z+7lxOJ2dDozFsQETj5ve6+Yxnkz5zFUtcLZYO2WxLQMjY\nyBocPt/e3WhUObAAN/7gONx12QTupiEW8UbgNAk3bvl5Ht05G2/uoRFKOIytu+u5tRrQjzISO47N\nwmZFs7VbkMbfZBDHjeAXjs276jHl2IGGz9d1HjE/aDvaINndT3NbMDrbiR2UvOyDarBrqDhVHgD6\nFvujgdHhxg7sOdTCpYxHl5dgYJ8Alv5re/S1/vzG19xrThrTn1us7XQKAvr5gk1tQfRnsvJhVeUW\nTm1RELsFAXDfgzg2SPY9iJQk2aVdfM0SSZZKGxc0bGAhPvhiP0IxMicnjOjLDXyNhVEptKeIo3xk\n76vBdnq5nE5u5pxZxLFTgHxoM9A9YmfPoW4D0M+/PYw7n1ynG7HD3hD5fS7Lxq5A+jRXYhBnPLhZ\nH0jJdDNHGju4QdVs5qqsWF/+NzuoXfuujUq7Kz7ahZASxqxTKtC32I/Wjshg9yOS4Epbw7TPxGeu\n+NdnvwPxhuSrHXU49bhu2UNjaxe2M3NZpx4/GBOryqT7a0Q87z7uhsTvhtvlhNPpgAOIarFaLAZX\n8cZJiZ/BjqAdgHDzQMEV0UP6FPkxuF8+9h2OLNKbd5oPrjxuJ/fjtjOQ+eX3tuseCylhdAXD8B0N\nNrTMx/99uBMdR8dunD2pHBdPH6krgZUJwdXWPd1ZK7fLiWMGFcHpjFwsRKdzILLIvb1+D/+adjVX\nceYLiml7rVuQE7QzFw2X04lzpwzD66urowvVeacOw4VTh8cV3PPzBbsSPphUPOai2JrlnQ010sCK\n5YvtR3BsZamp4MqoFNpT2PNDVtKUlQU1jEaexEMsb8qGNseaEScbSN7W2f0aqhp/VI6MwoCHu/ho\n5pbs7z8ZxMpciSai4jktG3ouaqy4zJWBGN3MoPbIPkSOi/geQCQQ0Y5Ln0Ifdh88GlxpZcEmPmho\nbOmMBldsICsGkdqNmBIOY+2mA9xjz6/YgmVrdkSD7S+2HebE5nbK1/G8+9iseMHR5zodDgT87ui5\nbcVI1My5vmkH/5gdKwZAP7w5G6GyYIYxblj3nfLXu+pijkeJ1fJqRxtkZFEgmosGQ0o0sAKAUUOL\npRfUvszd5+HGdmzd3a0jGzG4CB53pKNRFlgZseC/N9gyrIw3X9Aonc1nrvQGguzRiQSL8QMLNnPV\nJbi0G6XbrcCK2R3Ql0TZ9zKbOdl7uBUnjOgb8znxBLg9gdWPyDJxYuaK/d2IPmlm0ZdQQrrHrXbk\nsq/BisCt7JPb5dS1q6cieyUGV+zvySV8FlHALf52AH1wxWauxMHLIlrmdWJVGUZXlOp+d2aPC7sO\nHI5mrrr3q7TQF72xBPjsnSxzpQUgKySaPbZh4pOth6LbjxlUyNlCmIUrC8bRXLGa03ybXldmvtNv\n9jRy/+7NmivKXGUYYytL8c4nNQAid1DvfboXQ8ryMXJosa7MxE8f1x/KWadUoHpfEz7fdlj3mAZ7\nQTSyKGhpD3KdNeLzxKyQBnv3WdvQjv1M19/oihLbg3nFbIBZCvO8OBKMLJxiIMmK2QFG0O7RlwW7\n/0YIyExObpe5tPu8rpjpdra0FI+GZt7N2yijYaXpoaGlC9edV44RQ4rx5rpd3IJnphTaUxpb+e9E\nhN0WUsJoaQ9Gz0s2c5Xnc+lG0MiQlTfFC5HPa76s9+6nezFr8jAu21zgl/9uYqF9Jq+oBQqGEbB+\nfbaEGMCx++AWjruiqGBPO1HQDkRuuDTaO0Pc91sWw0YhHlbWlX3MmiTTXPUp9Ble6GVWDGaDOjYU\nnDDKWjlQg7WXaWkLIhxWuSCTvWllAzFuvqDJ+aB21mpAXx41S68NriZMmGCpjOFwOPDJJ5/Yeate\nx8ghJVxN/K//7xsA8otsuyCOFWE1Cu9+WsOVdfL9bsycXBG9IHZ2KYYnsZi5ElPQRpkRthVaLClV\nlZfYGsyroWUDzp1SafpvCgOeqK5CDBDFC27UisGtF7RrdAjfl9m242IxuGrqwKvvbTNdWooH+53K\nsjwaVpse2rsUnHdqJZRwGP+7Zmfk9Qu8ePgXpyalFMjSaCFzBUS+g8KAF60dQe78PWFEP3wocZkX\nkZU32ZKe1+3ErgPNljty2czVwH4BlB4wV7rX0Jy5RaF1ojNX2gihlvYQCvLcGDm0mFtv3C5HJDt4\n9DogZuFCigovI3OUlXZYV/TaBr50Gy9zFQsr6wr7mZrbgugMKrqbG07/w/pcCQGj0+EwHYCweb2m\ntsjIJqs3JmzApCKyTrNrcRNzQ8JlrmzMF7SzVrucDtul6nRYjSQaW8HV+PHjE70fBCKOv8+9+bVu\neDJgpN9ggyv5HQKrUbjtj2uiF9RZkyswmwlMjEqCgCS4auX/LY5i0OgnEaVG9smBEUOKsak6vpdX\nLLRsgNkLO9e6bDZzJRG0R/9GaCgQL3hGFAY8cDoc0dLJ6i/2mS4tmQkmWUF7LL2VXUNUdlHvDIaT\nHlipqsoL2iXBVR9JcFUxoBAH6/iL9sxThqGjSzGdzWVhL0R5fretjlw+c+XB9AlDdE0RsSg8eg77\nvGLmKjEXICPBst/r4iwWQooaFexfNnMMXMJFlC1nh8OqtIOQLQuKJcJYBqDxsDPwW2PPwRZOfF9a\n6DfMooSE9WDngSZbN4vvbKjB4YYOy5l43XzBti4+uGoxKgtany9o5zsVR2hZIRc0V7aCqxdffDHR\n+0EAeP1f2y1dZNnOo3hdGS6nE2UlAbS0R+ZriQODjWZTAfrgig1MXE6H4XsbLZCVgwrh87hsDeZl\nkXV0xYLtGBQ/r5i5igraJVYMGuIFzWzbsdPhQHGBN7oQf7XDXJBpNpgUR98YYafpAeDvfNs7Q7bu\nuq3Q2hHiLs6ygDHP54bX44wuxNp3wHqkOQAM6hPo7jj7dC/3XYnZXNl+dD/XYys4FX2uTjtuYNzS\nfT4jQNYunuKsvkQEV7EEyzJfOO2Gb09tK84XRnGxx0smZge6va68HhcXXBXkeWx3mUX+3v7fbtvL\na4ZilgW5BheHqXKzEbYy8aK9TGsXwFQY2Wwva6JsZ76gne+0J8cwF8qCJGjPEBQljLfW7TL1XM2D\npy2O5kqE9XypEzxmxFIf69kj1uXZ5xblew3vTorzvVLRblV55CJtZzCviBVBZqz5gmzmyu3qdggW\nZwvyfyMPyMzAitrbTToQm3U/F0ffGGHXEFW0tUi0EaGI6AVWUqgP2h0OB+91dbTjixWz9y32w+N2\ndnt93TCFc6yedcqwmP5C3NBmv9uyW/8xg4q4C0XA545p7Op0OPDDacO5YFbLViQjc2VGLyRj/eaD\n+PcX+7ltbJarSyJm19DK9JyYvQdZK8D6NAkPs0aJv6/SIlHQLtdcuV3OHt8sWh0dJb7flt0N0Yyh\nEla5NY7VZ+Vzcw/NZa7srNVW1kMRCq4A1NXV4fXXX8eiRYvwq1/9Cg8//DCWL1+OxsbG+H9MPpm4\nGgAAIABJREFURNm8q15nqmeEdpGNJ2gXYX8cYraC9bjyepzccORmMXPFlAULDUqCSjiMN9ftgqzZ\nrbGlW2NgZzAvixXDyljzBWVDm4E4mSshKPJ5zf+cZF5NZogXTKrC0NlYmivAniFqvhBciedHohG7\nSY0W+T6S85s1oBVHJ7mcTm6+XEuM7C3AW5/kHw2MrASn4kVCExazxq5zpnZngMKqisnjBnD7Zay5\n6lnpxK5gWePDr/jgKhQ27qpj0TJWhzkDUft6K8D6TQPb1bydyVx5PU4EfG5D/Q9rxeBxO3t8s2hl\ndJRWvmVvXd9YuzNq/NvY0gG2YZO9sbTTLWhnrbYrZgf4RqJeZyKqKAr+8Ic/4K9//Ss6O/Vlhby8\nPFx//fX4+c9/3qMd7C20xNA8yWjtCMUVtIv0kbhYa3CDYfO83AU0ZuZK0ikYq7wAAGs3HUBbRwi/\n/MF4Ux2NRlg1rJTNF9SybrLRN4DcRFSjnfkb79GMiFlEUbtZ4gWTze380Nl4i71VY0YgUrZhMdtx\nZBc2uHI6IuWQpka9dxUbsGrlPm7ot8SAlhui3Rq7PCobfWOlI1fUFQWEY+lyOjFj4hD875od0W2b\nquu4oE67SLpdkVFSWvnN7N29TKjucjp71FwC6AeQs5krM8FVbSNrINrztkcrx2XLrvroecLKBUoL\nIy7xnGGrweBmt8sRDUCsaOhEzAQ7ZvymvqnhkxtsttmO5gow952yMoMelQW9rOaqlwVXt99+O1au\nXIlp06bhhz/8IcaNG4f8/Hw0Nzdj06ZNWLZsGR577DHs378f8+fPT+Q+5yQFBnYGRuT73XzmykQG\nhy0LNrV2ccaDbCanKN/DXUBjdQvKbBiseP+cO6XS8OIeD6uGleJ8wY3VR3DsMX3gcjqNM1cxfK7Y\nvxHLNPFgy3VOB2CmGmAmmBQNNGMJ2jXMGjNqiMGVeH4kGvbCXVzAj1ViYc/v+qNeVwe5zJU+uCrO\nj+0VxNLKlQW7594Znb8etxMXnFYZDU51Du+Si09hwIuK/gXYfShibPnxZr6zkQ0GvR5nVOcTL7iK\n56w9oE/PskX692PLgqIflCN6A3C4sR2qqnKDnHuauQKs3TSIA5w1tEyoz2DUkJi5AswFILEwk4k3\nNTKpmn+8MCDXXHUFwwiGwtxNpBHsd7riw106OYMDQGlht5bU7ugbgDdvTtV4p0RjK7h65513sHLl\nSsyfPx+XXHIJ91hpaSkqKiowe/ZsvPLKK/jVr36FmTNnYsqUKQnZ4Vxl7LBS9C3ymyoNahfZtk5e\nv2Hm7zRURC7E2kImBkyxgiu2LMiOYACslRc0gbZ4cW9uC+Lt9buxbW+T4d9aNaxUwmF8KSxIj73y\nZfTiwl442XS2x2RZ0OpCwmZZHA4HEMMsVsNMMCmOvrFSptCMGePh9bg48Xiyg6t4BqLRx9jMVXMH\nmtuD3A3IQEkAwWeu4pQFOUF79++NPX+fXPYVPv2mFgBQXpbPCZR146r88pL62MrSaHC1dTdfJmJv\nELyebs8ucagyi5lMx8ghxYZ/bwe2W1DUXA0oDWDv0SkURxojx4kNDnuqudIwe9PQ18DAUx5cGWuu\ntPe0e7No5ubJbvnWqFsQiOiuzGbSte+0vSuEFR/yRqkqgOp9zdF/k+bKBq+99hrOOussXWAl8qMf\n/Qhnn302/ud//sfWzvUmXC4nZk4ZZuq5MyYOgRIOc3dOpgTtghCYncHWLBjOmc1ciWVBK+UFUWOg\nXdxPHtMfd/1kolTka3ZiPIt2cZEtStrF5Ytt3Rcew8xVDEG7z2NtIWEzV0pY1emBRMwGk+x373U7\ne5Saj0Ws8yMWdhzo4xmIarCaq/ZOBbsPNnOPSzNXAbkvkAy+LKgPjFxOJyoHFjL7LXSkioPWDTQp\nY4f1if6/GHKzwSB3AYpRejOT6di2txF5Pcg0iMeFs20Q9m1Q3+7jcLixg8taAYkLrjTiubkbuaOX\nHs2EGs25Y4MrNvMjDkc/ZdwAU/tp5ubJTvk24HNzflOiZtJKU5CGGY1fTzRXbCUgGApbEvpnCrZW\n3o0bN+K+++4z9dxZs2Zh4cKFdt6m1/H9aSPw1fYjpnQCou+ImYtocYGXMyitY8Y8sFqDwhhlQVUV\nulCE4MqO948Mq6WqWJi5uLALFrsomBW0W52hJQrajUYAFQU8OGtSuWn3c9FANJEzC1kK8jzRGWxm\ngqt4ZalYDvS8gajxhbe0iP9O2ayP0+GQln+KmCC3uV3vcs3CnqtGmeJiLhPG6/rYzJXP6zL8vFXl\nxZyeSsPldHDva2Z4s5VMR08uXzNOHorXmNmk7I2fWBaMDGuOZPcON3ZwTu1A4oOreBi9n9Z9ynUL\nGpiIeiRmmVpQN3JosW1vNRE7flNi05GYubKiu9JgNapGiffW9qBtmxbdeKeQ0qNMWDqwlblqaGjA\nwIHGA4VZBg4ciPr6+vhPJOBydbdli2JXMWPTLpYYTARXbpeTu5iwFzkxG8UGVx1dSnSxbO9UOMG0\n6M5u15jSiHh3nfGwk0Y3ErSHFJWbmWYkgjeDmIaX+QgBwM/njI9pDyBi1kC0p1jJXGmZw6Wrq3V3\n3ey8NaMsVryhzdHHhM+7ZVf3utOvxC91i2YzV6pqbKbbFVS4gMHovGWPa0jh50a2mQjOgEjmdPjg\nIt120faE7agSO1c1rGQ6OroUjByif994TBo7AOeeZt7nis1cNbV2RQfVA5GMLjsVIRUYlQVLo2VB\ng25Bg8yVSCy7DauZeDt2D+INcL7fOHNlNrPMnm9jh5VKdZBrNh6Idi9anZHqdYtWI9mnu7IVCubn\n56OpyVgPw9LY2IhAQJ+OTwQzZszA3r36C+eoUaOwfPlyAMCGDRvw6KOPYtOmTfB4PJg6dSruvvtu\nDBhgLlWbarSMzZB++fjj0o3R7Q/M/Y7OvJHFjKAdiJQGNYGwlnkIq6rQ7u3Vp47bI3V58eIjaq7s\nGlMmCztpdL4syP/IQ6FwNJvFieBNurNrFAY8XBYx+n6MlgmQz2QzQgmHUVPLX6iSBRdcGVgYaJ1p\n73/eMwf6eO7sGoX5Xi7js2N/d1lQVhIEgCJJBlGmP9HrpeJnrrTX00qI7PiceDcVY4eV4luh48vj\ndnKZADO6FKuZjrMnVaCqvAn/J+hp/F4XHOA92TRh+KXnjNG9Py9o737M4QAGCF2bW5gMYyLE7FaJ\nZHj12ZduzVX3sVLCarQRiP1tuuMIwhOVibeyvmqImSuvh+80besIWs4ss2tfSUHkZlyWfbczvgtI\n3gSCVGIruBo1ahTWrFmDM844I+5z33//fYwaNcrO25hi7ty5mDt3LrfN7Y58rOrqalxzzTWYNWsW\nfvvb36K+vh6LFi3Ctddei6VLl8LjkQtKM4Ei4cLY1hniZ0LZyFwBkQVjx1FLGu1H1CY4YBfme3RG\nkS1HgyvdXEHhrshKO7LVbj872B3boCHekQYVJrgKyjsM46EtZLLoakhZAXbs675xMcpIyF5PXBg/\n33YEy9futDT02SzsudgilBWM9iceMgd6bQizRqxsnNPhQEmBL9oUwmYZjTRtYjBk1DEolq+NxOjF\nwu+2oaXraBnMfOYKAEaX6286DtW3R0fOzDqlwlRwZTXTURjwYMr4QVxwNXf2GJw6fhBUqNLAwOVy\nwiWUMDkrBuZmwet26cpwrLdUImwYrOJ2OVFSoA9Yopkrwb+uK6hEgqtQ7LKgDLNNI7H+3vLIJCG4\ncjgcyPe7o1KQ5tZg3IYHMThig6uDde2GsgYNqw704mDyWA0bmYqtFffss8/Gyy+/jK1bt8Z83oYN\nG/Dqq69i1qxZtnbODIFAAGVlZdx/paWRk/eZZ55BaWkpFixYgOHDh+Okk07C7373O3zzzTdYuXJl\n0vYpEciCGxZRHGu2LMUbiWpDjPUBk5i50t5fnCsoMxG1Y0yZLOyk0XkTUXFh7V5Q2bKgWSsGtkQm\n0yns2NcEViZlVC6UvZ54cegMKnFLbnYpNPBBi7U/8ZCZKIpmr/FMUY3KhmK2RCPgd3MlDaOLhOhk\nbZR50jKS3a/X/R3EE8RrKOEwVq7fI32MLaOyzRZGAmOrbuWjhpbofMvGVfaJBFExSvRiyZUtoQYF\ny4KCPA8XGLI3dkbzSJONqMeLOK7LDVu1EhUrjzBjZZAozKyv7PVAZpfDru9fbD9sOrOswa59e5my\nbiysONCLmqvOGC7/gL1GmWRj64y45JJLMGTIEFx++eV48cUXdW7stbW1WLx4Ma699lqMGjUqbldh\nslizZg2mTp0azWQBwPDhwzF06FCsXr06LftkFtFLSLzIsJkrr8dpevo42xmjlQXFu3XRigHoDq7Y\nQCzP55LqIxKpMegpdlyTOSsG4fOxFwo7VgxmxPVs0BUvHW7FUyyRsIsze27aHaGiIWaIRGNP+8GV\n/KLtdDj4YbemM1fy4MrldHIz39jhuWbHVa34cLfONkTk822HOQ8vo/PEzogjUeAs3mjJ38fBBZVc\nWTDIB1cOh8NQRN6vJPWZKwDcRAogclOmZT71wVXku5ZZMaSCWOurBtvgIAuu2POXLZ/Hgg2O2Ju+\neDeAGlYc6M1mrpRwGMuPOtMv+vtnWPz6Riz6+2e2tV6JxFZZ0OfzYcmSJfjlL3+JBx98EAsXLsSA\nAQOiWqzDhw9DVVWcfPLJeOyxx7jgJlW0trbi0KFDqKjQZ0eGDRuG6mp7LrqlBtqNnqJNlddev0SN\ndC1pJ7PqdPDvzQQm+X6P6f0ayrSKN7V1oaDQj7DQUVY+uBgetxN+ryv6wwk7Iu8fZBbNkgJfzPe9\n/NxxuGzmGGzZVY+W9iAK8jwYU9nH0AQyWcw+tRJ/Wxk7y8rStzSA0tIAXC69lUEg4I1+ZrYLqrQ4\nL+4xUJQw/vX5Pgt7DjhcTsPXtfJ673++D5fOHJuw735Av/zo/7d1BFFcnAdVVS1/PpGBZQXc591+\ngF/4+5XkwRXjOxnI7BdLVWVfw7/pU+SPZtk6FVX6PAdz8XQ5HRjYv9CwE7NPkT8apHUoYen50qfY\nL30fK8eUdZ9XVPl+A8BlM8fg7fV7YjYeTBo7AJeeMyayDjFri8ftxICygphdp9ra5XI5oxkrf173\nmuRmLpR+nxulpQEM7JcvzXgMH1qStDXWCEUJo0n4bhpaujDvqQ8xc8owTB7P63N92nrLfCUFzLqQ\nKtj19UhTBxa/8kX0HGMTRAPL8nX7Fum6jcgPzOqZ6ps7caCxA8cO76vrADWLw+0y9T0F8vmg0ePT\nX+MUJYzfvbgBGzYfku6rNlT8rstPip6jqcR21DNo0CC8+uqreOutt7Bq1Srs2LEDra2tGDBgAE4/\n/XScc845mDZtWiL3VcpXX32Fa6+9Flu2bIHL5cK0adNwyy23IBSK3CXm5+sX24KCAqkQPpNwOBwo\nCnij3V/Nwh01W6Ywc2epwQpGVRWob+rgSiEFeZ5oirsw4EVHV+TuWMtOsM81Yzzncjlx7PC+pvcv\nGXx/2gh8s7sB6wW3ayPYuzqPriWYLQt2L0pmPF2szI/sfg9jzZiV1zvS2IEtO+sSdixYrV1YjZyP\nOw80W/58LH2L/RhT2YfbxjrOez3xfbv6SspKbpczplCazYaJJqwabKksP88TM9goLfRh51FdI7v/\n7GsEDH6zVo4pe/7F0ubVHGoxDKz6Fvsxa0olLjxjePQCxD63IM5nZYk4r0f+n7di6N43rZRpVKaV\njShKJtoF+usddbrHjjR14G8rt+rczrXfpJHPVSph19eN2w7jHUk5mR37pSFWJsyinRtiQ5VZzL6v\n1+Pkmgxk6+Dr/9ouDaxY1m8+iGWrq/HD6SMt72tP6VFKyel0Yvbs2Zg9e3bM5x04cMC0dYMVSktL\n0dLSgrlz52Lo0KHYvHkzHnnkEXzyySd47rnnEv5+AFBf3xb/STbQonL29QN+d3SxP1TXyj1Wx3jD\n+NxO0/vlFhTUO2oacKC2JfrvgjxP9LVY0W3t0fevZe6W87yupH0fieZn549FeVm+VGR95klDseqT\nmui/Q10K6uvbItkr4cJSV9eGPkd1ZqyGJhwKx/0uDhxqifm4jIamDsPXtfp6B2pbMDiOWalZVKGL\nsWZ/Ew7UmtNeGPHdEwfrZgbuO9SduSoKeI9mclXD78Tv1gcCZSV+6SxCDdY8s7auTfrahy2c9wGf\n/PXYkrpTlX8GO+cIENFgiq+ndWu++eEuw7/77dzvwO9zo4kJ6LjfuM8d97zW1i42K9rU3Bn9uybm\n9+Z0OFBf34YCSZDscjrgChsf22SwfO3OuBfoL77l/akO17WhviSP070qSvzff7L5zuj+0uDqsZc+\nw1knl3ONLW6bGWw1pKD2cAsXWOb73aaMSEsLfRhY7Df9PXndrmhWra6hnfs7JRzG/63daep13vz3\nDnz3+EE9bp4qKyuM/yQG28HVp59+iqeeego1NTWoqKjANddcg0mTJnHPCQaDePbZZ/H000/js88+\ns/tWhrz22mvcv6uqqlBWVoarr74aa9euBQC0tOgXq+bmZhQXJ3bcQzLgvYT4k7fdpH5DpKTAxzWp\n1Td38nMFGYE6KwaXaa5Ej6tMhm2F/nRrLZ7836+ijxUJonxWPyXW/rX5giGFd8gXdRky7IjrY2Uk\nEu0pZgWZJs/O59MwanDgM6XxzzeZBsXIhiH6uqxGysDnitVLxRKjR16vex/Y/W8zMWjd7nfIlnZi\ndWsW5nnQzGSm2jpD8Av7wmqurJwzbHClsIL2ENstGLm4yzRXfYp8Se8eZrE7Skb7TbK//1RqrmQo\n4TDeXLdT+lhzW1DX8cceV1Z+Egut4aFdyCKdOKof/r3xQNy/t9od7vM4o+e1aJJrZxJIT7o07WDr\njNi4cSOuvPJKrF27FqFQCGvXruUCGgD44IMPcN555+Gxxx7DoEGDErbD8RgzZgwA4NChQxg0aBB2\n7dLfte3cuRMjRoxI2T7ZpZDzEhLLgvaCK9FItK65g58ryFxo8rmOsMj7cU7uFodNZwIupxOTxg5A\nfyaD8+k3/J0pe7ER0/1aWVDUKZhxaLcjro+lh7DTCZYoZMGVnc/n97piNjhwwVV+/NeWvX9ZaWyR\nNFviZD21WKwEHGyw1nD09UJKmBN2GwnirXyH7Gto50m8bs1moTwoKxdyJdA4gSQLq2sxMhHVfk8y\n4XqqOwXteOABckF7usqCGlYbW9jjatZGQguOOjr5Nen04wcnpTvcaOwQkLhJIMnE1hnxzDPPYPDg\nwVi1ahXefvttrF69GhMmTMATTzyBmpoa3HDDDfjZz36GhoYG3HfffXjjjTcSvd/Yvn077rzzTmzf\nvp3bvnFjxHizsrIS06ZNwwcffIBgsHux+Prrr7Fv3z7MmDEj4fuUaDgvIdGKwWbmCuBnsNU3derm\nCmrIXLibuOdmrk9YPMYN676L2SXMoOMyV6LP1dEFVVxgzPhcWenc0ojViWOnEyxR+L0uLlPR0h60\n9fnGDSuN6UDPB1exg3klHMbaTfo76H9/eSBm5xCbEWttD3IZCQ3eRiFOcMW8XsvR1zPrS2flOzyW\n0ad1BhWoqmq5W1MWXHEDqi1k0rjMlYGJaDS4kgRS/YqTN1FAhh0PPKA7ixJv/E2qsJKB0zr+2OMa\nDCk4YWRsLSYbHHUIgU7A705Kdzjv48b/JtOZtTeLrXf89NNPceutt0ZdzktKSnDXXXfhoosuwnnn\nnYdQKIQrr7wSN9xwA4qKrI9TMMPAgQOxfv16bN68GfPmzUNFRQW2bt2KBx98EKNGjcKMGTMwbtw4\nvPHGG7j33nvxi1/8As3Nzbj//vtxwgkn4Mwzz0zKfiUS1kNKH1x1n+BmDUQ1+hT6o+23dc2dQjaK\nLQsy7fZH50Sxd7XZVBYUGVvZB+8bdGXlMYGSy+WE0+GItmVrC6q4wJh1aJ91SgWq9zXFnDPWt8gf\nFTXHMxE183rJ8BRzOBycK7N2fprZn/6leTh01EagJo5HDmtlECu40jI2ssCirTMU0yWavaFQESmj\niBeJVpMeVbL9bG4L6soasV7D7DH9zpj+WL8lohdS1UiAZbXMJc1cddjMXJkoC2ou8+9/VgOR9Vtq\nUVaSHNNbGfZLsJHPkymZKzslMvb8C6vAteeNw38sXqvLEOX73Zg5uYKbbSqKy/0eV0JnwWp4Y8zO\nzLRJIDJsnRF1dXUYPnw4t62qqgoAMGXKFLz55puYN29e0gIrINIF+OKLL2LMmDG4++67MWvWLPzm\nN7/B1KlT8cILL8Dj8aC8vBx/+ctfsG/fPsyZMwfXXnstxowZg6effhrOFPx4ewq7sInpfC5zZTEq\nF41EjXRUBYJRZEt7iJPDZ2NZUGNMhfzH5nI6dAsl2zEYzVyJC4xJnyszHmAnjSmLbhODOKPXu+C0\nSt1jyfYUk2U2tf0ZNVSvadT254JTu/e1tr49Zkckm7kSpxaw9MTvS9RyybyuuGxO3MwVf1wbWjp1\nmatYv1mzPnGiVmrzrnrLZS7RMDSyzfxnZWF1R6zBpuhkHilb7tD9fUdX8kxvZVgpwbIBghaAhJTM\nCK7slMjE47pjf5NUgvD9M4brMstiNp09D3s6C5aFNRIVg6t0Zu3NYit0D4fD8Pn4k9LrjSxQt9xy\nC4YNG9bzPTPB0KFD8fDDD8d8znHHHYe//vWvKdmfRMNlrtqCUFU12hZtRhxrRGlR97Grbejg7sqN\nyoKtHUE0Cm3q2VwWLAx4UdG/ALuF7ixZidXjcqITvM5CXGDMOrQD8eeM/XNN94XHzPgbl9OJk0f3\nxz//vTO67apZYzD1uJ53yMRCDL7Z/WEvWpUDC3HJjJHRz1fDdKeqiDg8jxisD8Y6ukLcgm+UubJa\nFhFH7IgZWJlLOzsXMN7vTTZfUCwbmRlYHi8TIDZRGBmgxiJu5spCy75xWbA7CNlX18aNd5JhdVSK\nXayMkikKeKL6Oe03yZuIpv7irWGnRCZmJDdsqZU+V7b+iNusDq03SyzNFZC+rL1ZMj9904thL15K\nWI1e0FVVFTRX1k7uPoXdYlJxcTUqC6oqOEdogBe/ZyPjBE8lQL5QsHel2oKqX2Cs36cY3eWxgZpZ\ng79DDfyxmTSmf9Lv1sSyMQvr1XTMoCLu8w3sE+AuxDUG9gNikGMkaLdTFmEJ+NzcxVEMUpRwmOuo\njXcx8XtdnFavqbVLn7kyeb7EygSIo5nsZE/E4xZWVSFLZ0XQzgZX8rLgPpN2HVZGpfQEs6O6yhif\ntM6ggrCqcgGkbFJFqrDT2CIG959+Iw+uxPMW4LP2LqcjaZ2SsTRXkfeOZHjHH6Nfx1M9CUQGBVcZ\njNEImq5QmPthWxW0x/ohcmVBITO1j9HHOBxAgYWFNxMZW6lvzXUAupIEF1wp+rJgZIFJXCDDBldm\nR0vUMsFVQZ7H8jlhh3yDzBXQPVoJiLTYs7hdTgxmnNRrDskvuGLnXolBWbCnnUMOYQSONnJHG63x\n//3XWi5AWLq6OqZA3uFwcKXGxpZOzvQ3z+dKSOArZq4G9cm33K0pHrf2Tr70b03QznQLcmVBxuzU\nghu42VEpPcF0CZYJhjuDCkKCQ3k6M1d2SmSi5s/IZFZmFtphY+yXHcwMJnc5nRjYt9tqpazEj7su\nm4CHf3FqzEaZVGB7BTYaH1NdXQ1F0X8Rxx57rN236rWIwU1LexBlJXm6E966oN14AWZ1VGLwxAZX\nhXmetNSxE8mIwcWcCzAA1DZ24M4n12H6hCG4bGZkHAifuYqc2+JcQbMu1mZgxfGdXQpXDjaCzVz1\nT5BRaDyMGi6UcJhzOu9TpG+7H1pWgD1HM1ZsmZBFNvNSRiI6h4rzvcyszWBMgXxrR2yBfOT1fKht\niGTvGlq7uLt7q79XI3QebErYdJlLQwxMxWDLSuaKDTBCBmVBK6Sqfd5UCVbIJgcV4xuwdGC1ROZx\nO+H1OKUDv1lT0PZO/bWcD66SdxPniyFoZ2lgbsKGlhWk3M/KCNvfzJ133indfscdd0i3b9682e5b\n9VoKDTJXYnBlNUtRUsgbiWq4nA6uzVzUW+w/wgRXWV4SVMJhPPPGV1xgpSHOpWL1MjLNVaLv3tiF\nPKyqCCnhuGWHWqZkWxZj1EsiMWq4aGju4r7XvpLgqrx/AdYd9XGtqW2RBpBsWTDf7za8gCWic4jV\nGja1dVkSyMu0QcXC8GY2oMrzJSbjKxsobOYi26/Yj8ONkcBPzFiIAU2iTUStkOr2ea0EK4MVV8sy\nV+m0YgC6M3Ay89jSQh9mTBzCdfwBkd9vV5D/zfg8LowZVopPtkbKhOnMXHmF79wIdsRUiYmRbKnC\n1tl74403Jno/CAl5PjdnA9ByVPdh1jPHCLfLiaJ8r07TUhDwwMlc4DQvI60EeaCu+wJelMWdgoC5\n7jJtLpVXorliFxhfgu/eRFuHji4lbnDFZq5SFVyJgnYtQKpr5mfjyTKlQ/t3lwVbO0Kob+7UZbi0\n8hwQe46lFWGyUecQW8ZraO7AN3vMlaRkAnmA72xsbO3iyo7xfLLMImquOruU6EV2yfKv8dHX/FgX\n7SIbUsL43zU7AegzVbrMlRVBuwkT0YDPLdXxiKSrfd4ILovSpegCRneaM1cAn4E72NiJlvYg1JBi\naIeQ73frbkiqyku4m3p5cNW9LXVlQeMAnc2Sl1gsiycTCq4ymIiXkDvqQ2WYubKxWPcp8umCKzFg\nEr2M2NbjwizuFLTSXbZi3U4MYNykU5O54o9nZ5eCwhgTXMJhFUcauwOa/qkKrphzIKSo6Awq8Hvd\nnJjdAfmCV15WwP27prZFH1yZ9LgCet45xAY/h5s6ezxao4Rzae9EX2bcS6LKgm6Xk7v50cw6XU4n\nqoaWRIMrr9uJ2y4+IXqRfe/Tbo+pWJkrB6xlxc2YiI4ZVqKbiCAjXe3zRogXel1ZMM2ZKxaXs3uY\nc6w5frJjO66ylCvHpzdzFb8sqKoqH1yZGJGVKjLnjCCkFDABT3M0uOJPNLOdRyylhfp6bTHJAAAg\nAElEQVRSjSxgEnVfGtmcubLSXXaksQNdIeYuXCJoNzNX0ArighXP66quqYO7mJVJRoskA13DxdGb\ngPomNuPklXYTFeV7ufNtj6Rj0Io7u1lhspHAlT2fxVFT8ZBpg9hMW1NrF2dvkKjMFWB8d89+d6VF\nfq7TkM1GtXWGOGG+uJ9OC1pCF+dzFXlNVVW5LM/EqrKkjEpJNqK4WsxcpVtzZQWtUWPngWbdY7UN\n7ZwsQZZl7Exi1p6F3Q+j4CoyAaF77SvN9rIgkToKmIVYu8tkO498XnudR7KuIlnAZNQRmM2aK6vd\nZawsKyiZLZjouzfx9eJ5XYk2DP3jDCpOFLrgqiOIfsjjMlcyMTsQyYoOLSvA5l31AIAaSYs+ZyBq\n4nzriUs0GwzFKkHIkGmD2P3tCoW5gDNRmSsg8vvXLoDsecJmH4qFGyRRy9naHorur925ggDg5jRX\nkV+NElY5/Z3f67asDcoERM8l9oIOZFbmKhaxGjWASJl7CNPJK+tWTl23YHzNVYPYUZztZUEidbCZ\nqxZJ5sruQi22xwPybizxAqqRzQaiVrvLWA2UvCyY2J+RaEgaL3PF2jB43E6d43iyMLIK4W0YjLNo\nXHAlyVxxAYKFzxRLmGyEeD4XSzSJMoy0QWJ54iBTnklk5sqodMI72/O/dVFH1dIe7A6ubM4VBORl\nQbEbzeN2JmVUSrLhugW7FM5eAsgMzZUZzGhN9zJd4e2dIV2zSao0V15GZxpSVCjhsC7oFisQmSRo\nz44zohfDjRg5Wq7oiTu7hjRzla8PmIwErdlcFrRiute32M8FoinRXIldYBYyV2UleZZKOT0h4HOD\nfatocMUI2mPZfrCi9v1H2rhSS1hV+eAqyZlSUTA/cXSZwTN5DAXyguEpm+lIaOaKuah3howyV/x3\nZxQUAz3LXMlMREVtEtsckshRKclGzKJkmhWDGaxoTbv/RtVZaXSmyopBl8HXZ5RZvZXH7UzLgGYj\nMv+M6OXI5rfx7uw2M1dSzZX+AmYkXM/msqAV071ZUyq57IBstmCigyu3y8l5BsULrjgbhuLU6K2A\nyLw19gKsaa7YzJXMhkGjvH+3qD2sqpzVR0t7kNORGbmzJwrxZmF8ZZ8eaYNiNXzYaUAxwsvqUrrk\nmivxpkkMrtiAis9cWQyunKzm6uigcyHrmk4n857g83QfMyWs6n6TyXIpTyRWtKYsoqid75ROTbcg\nIC8N8jYM3oT6DfaUzD8jejnJC670FyuZvsro7tWMBiaTMTP2YtLYAbjwjOEmrBgSv8CwC0v8smB3\npqgsRQaiGvnC+dkZVLhMiKz8rDG4bz6X+WJF7axGCTAuTyeKPJ+Lyz60tAfxyx+Mx+hyfcnPjEDe\n7XIa7nMgQT5XgNzFWlVVNLWxJVVhDqyHH8/TzAVX9oX3ZjJX2ZDhkeHz8vstNjFkg+bKqtZUQx9c\npd6KAQC27K7XTUVgM1eZJGYHSHOV8Ygu2D2dKwhEFr61Xx3Qbf/Lyi3Yd6QVs07pFpTmouYKMGe6\nd+k5Eod2RT9bMBmpcb/XFV3AY2WuVFXl3dlTZMOgUZjnwcGj/9/aHkJdk+BxFSNz5fW4MLBPAPuP\nRPRIn2w9hD6FPny7txHvbKjhnvvYK1/gzJOGRl3zE43D4UBRwBsV4ze2dukCpxGDi3DRd0eY1gaV\nFHilY0USWbqQBVcdXQqndZI2qgQ80QyjYebKsqBdP/5G1Fx5szW4Ei707HF1OR0ZXdLUsKo11RC7\n01MhaFfCYazdtJ/b9swbX+PV97dj+oQh0WsUu25nkpgdoOAq42EzAyElMryZHaxqVb8Rq1ukuS2o\nG+shC668bmfC7QfSQTxhrXYRl42/SfYCE2lx7jz6XsZ3nK0dIS7YTpWBqAY/vLkLdULZIVZwpYTD\nnD7s821H8Pk2udi2sbWLc81PBsUF3cFVU2sXQkoYO/Y3RR+fNKa/JaF8cb5X2gWZWEF797mpCdqb\nBCsJWZa5wN8dXBlprgp6lLk6WhbMYssCFnG9Y7+nbBGzW5lkwMKuL2FBg5WMG8tY1yhteoZ2jWK7\nBTNJzA5QWTDj0bdNB/nMlcUF0MpYD0Duc1UYyKzadk+JJ6wVx9+EVTWpVgyAuaGlAHCoXrRhSHVZ\nsPv8a20Pcpkrt8thqD3SFlC2M8kMmmt+MhBH4Ow51MJdSEZadAwvMtCJJVTQLjlPxJmMsmYAsZwL\nRLKgbFnQuuZKFlyJmqvsvOTEylxlQ0kQsKY1ZWGvN6I1QzLWPivXqPqWzBx9A1BwlfGIwU1ze9B2\nt6CVbpF3P92LcFiVZq5kXYW5jEfQXIllumQsMH6h9dsI1obBgcjcuFRSmMdahYR4G4ZCv2HnopkF\n1IgV63YiHJYMhewhrN1DY0sXttU0Rv/tcTtRMaBA9memXo8l2SaijS1i5kpiDiwJrrpCYa6r0Xq3\noN5EVOw082apoF0cks0FV1kUMJrRmp44sh887u7fbRsXXPFZ9ESvfVavUeyNhNkO8FSRPWdFL0XW\nNm1X0G6lW0Qb6yELrmRdhbmMWwyuhExSMkqkZgXtrN6qpNCX8m4sNnPV0t7FZa6MxOx2WsJZjjR2\n4Nsac7P/rCBmrr7d2x1cHTOoyHJHWIkkY+QA4E9g5krmc8WWBfN8buk5IQuuxLmCVoNAmYlobygL\nZkvmCjA/ySDABNYdzPUm2Wuf1WsUSyaNvgFIc5XxyIY3swJDK8GV1W6R1o5QxMsIvEt5Nntc2YG9\n2w6GwpLUeHIE7RoxM1f16ROzA+JFOiQEV/Ismt2WcBbZyJmeImau2ju7A7iRQ4otv16RZLH3+6yN\nlImHzMXajD+YNLgSvtOelQWPdgsywVW2CL9liN2CLcx3lS2aKw0zJq55XjcaofdV1K19CbxRAOx3\nNAKZl7mi4CrDcQrDmw83dUQDLcBacGW1WyTf74bT6UDA7+YW3sJeXBZUoR9267fRsRkP1t5BNoJC\ngy0LptqGAeAv0p1BBQeZYM8oc9WTBVQjGWaB7E1DW2cIbUz8N3Ko9eBK5s2VSL0VIM9cmRkbxB63\nVoPMlXVBO9MtKAyTjuxrdgUhLC6nE26XM1ruzNbMFUusSQbsdYW9me/oTG5Z0G5HI6C3HEk32XlW\n9DLYO8haYY6clcXaijM5O9ZDvIM1mjeYq4ilDM0sU8Of7LJgjOAqnTYMgL5sfbgxfuaqJwsoEHHN\nl42c6SmxvNtGDC6y/HqyMkUi9VaAXHPVZDW46ggdFbPzF85ADxzaNe0Wq7nK1iBEg80StnDdgtmZ\njYtFgLlh5ATtQlkwL8HBlZVrFHvtC/jcGdfBnt1ney+B7RisrbcfXFnpFpkxcQhUqFi+dieONPLe\nRf/34S4sX7tTZ+iWq4gXhWah1T3pZUEDzVUwpHAOxam2YQBim3vKpgAA1hZQGbOmVCalvGQkQB/Y\nJ2BLZygrySU6c+UTMleqybFB7A2TElbR3qlwnYJej9OyPkpWFgyxwVWWitk12GwyOz0g24NGGVzm\nqkteFnQ6HAl3prdyjSpnGkwyrSQIUHCVFbDDmw8JmSurDu1mu0XOmjQUf3ptI5auruYWEiByp7t0\ndTUWL93UKwIsXeaKuWt1IDnlDn5QrLyMVtvQwWnhUm3DAMQJrgzKgnZbwoFu1/xkYKQltFMSBCK/\nTfHik+jMFXvuqYhonKyWBYFIMwJnw2AjOy01EWWCq2wuCwLG4u1s01yZgS8LyoMrv9eVFEses9co\ndspIponZAQqusgK2jNIgCIGtBldmu0Xe/rjGkh9WLiMGV81MWdCXpAXGb6IsKJaI05G5iiV6jjVX\n0MwCyqKdm3ddflJSHNqByMVCFgDYEbMDEdd3MXOUzMwVEMlymhO08/vR0h5Ca7t9d3ZAbyKqqion\naM/2DI9ox6CR7Z9LhlFwxU2mSILWFOCvUWLQFPC7o9co9iYi09zZARK0ZwUFjJcQm6mItHVbP8Hj\ndYtY9RqZNXlY1nYBmUEMrthW92QNLvWZKAuyWcw8nzstE+HdLifyfC7diIw8nytm4B9v/NB3JwzG\nyCHFaO9UpK75ycDhcKAwz4MjQf4GZpTNzBUQuaM+wnRQJnJoM6APrhpbu7hskXHmit/e0h7kMld2\ndHEuYQ1QwionaPfkaOYqW+0lYsH+dttYQTuTRU+mxom9Rt2/5CMcqIusdSdVleHcKZUAeCuGTDMQ\nBSi4ygqMSi9+n6tHbd1G3SJ2/LCsjAXJNmKVBZOhtwIAn6f7dUOKipAS5kpMSjiMb3Z3WwWUFfvT\n5pqf7/fogqtYY280zLSEpwolHMaKD3dz4zSAyA3Mhq2HMPuUYYZDmmMhOtTbHbRuhHiBE7OZRpmr\nPJ8LLqcjWvJvbQ/2aK4gAF3gq4RzK3NlGFxl+eeSYa4smPzwweV0oqq8NBpc7WaGu7O/1UzUXFFw\nlQUYBVeJLjFo2PHDymVEIS4raE/W4FLxdTuDCtwuZzQIELM9++vasHztTm7odqooDHi4LkHAWMwu\nI1ZLeCqINctMBfD66h3Ysa85Om/T7Guu+HA3vt5Vz21/Z0MNPC5nwo6TWMasbeCPg5GOzOFwIN/f\nbfHS0h7k7AXsaMPcYuZK4YMro7JatmCUpc5NzRUjSzBwaE/W2icybGAh8EXk//fWtiCkhKEoKhf0\nZWLmKvfOihxENt8PSPxdcPT9bPhh5TL6bkEmc5WkC4a4kHd2KdEgYOnqal1mMRgKp63JQKa7MhKz\nZyJW523Ggz1OXUH+WLR3JrYZJF7mKpa9hDhfsCdzBQFZWTDMWzFkeRDiMyhr5mTmislKRcYiRY5j\nsgfWyxg2oDD6/yFFxb7DrWho4de/TMxcZf1Z8eqrr2LOnDmYMGECpk+fjvvuuw9HjkQWynnz5mH0\n6NHS/+rq6tK85+YRhzdrJCu4suuHlavoBO1cWTBJmSvhotnRpSQ8CEgUssyqmbJgJmBn3mY8Unmc\nxGwQG1wFfO6YAY3o0s4L2m1ormRlQUYvmP3BVS/SXAnHX8sSpSO4GlqWz8lfdh1s1gVXlLlKMM8/\n/zzuv/9+zJkzB8uWLcP8+fPxwQcf4KabboJ61MV8woQJWLNmje6/0tLs0QgZlQWTFVxZ9cPKZTE7\nALhd/OdjO2ZSIWgHIotbooOARCENrjLwTlKGHX1hLJIRrMUiVuYqVtYK0AdXbZ09zFwJv5OQEkZQ\nYcqCWR6EGFox5GDmSpScyIOr1FQsvB4XBvULRP+9+0AL95t1OOTDydNN1p4Vqqri2WefxYUXXoi5\nc+di2LBhOOOMM/DLX/4Sn3zyCbZu3QoA8Hg8KCsr0/2XLvGvHYzKgsnSXAHmvUZmTq5I2j5kCg6H\nw/DuNGmCdiG42r4vsUFAIpEFV7FsGDKJROsLEx2sxcPp5I0cWe2bkZhdgz1uTa1dXFNCT32uAK1b\nMIdMRHtT5koXXEXOjc40ZK4AvjS461AzJ2YvyvemXGdqhqwVyzgcDixfvhwuF3+ABwwYAABobW1N\nx24lBXF4c3R7ErVO8VrlZ0wcgpmTUy+eThdet5MT52qkqizY3Bo0eKacVDYZyMuC2ZG5SrS+MB3N\nID5P98y7oAkbBg32uInmxLbKgjJBezB3NFdGgvxczFzpgystc8VYMaQ4uFq76QAAYM/BFlQywVZp\nBpYEgSwOrgCgpESv9Vm1ahUCgQCqqqrSsEfJwelwID/PzQmpgeRmroDMapVPN0YdQckKrjxuJxwO\nQIunHRbX71Q2GciCq3gX9kxB0xeayTaZ0RemoxnE53VJgzQrwZX4+XtqIgoc1VzlUlnQ4Lee7UGj\nDHFmYDrLggBQwYy66Qwq2MLY0GSi3grI8uBK5N1338XLL7+MW2+9FYWFkci2rq4Od911Fz755BO0\ntLTghBNOwK233oqxY8faeo/S0kD8J9lAE4MavX5xgU8XXPUpyUva/oj061sQ/0k5BntM/F43GtGl\ne05pcfKOQZ7Xjbaji9qQ/oXoW+TnDCmN6Fvsx6TjBusyCclAUcL4dm+Tbvv9Sz7GzCnD8P1pIxJq\n/Bnvd2KH2adW4m8rt8Z93rmnHYO+ffNjPmdSkR99izan9DhFsgz64HBAv/yY31P/GJ9l8MBC09+x\ndkz6CM8P5Hu50VlFhf6UrVfJoI/BBITiosz7XD39naiqCrfLER3A7XC7UFoa4AyN+6bw+nO8cANX\nU9vtdzUwznmeLnIm5F6xYgVuvvlmnH/++bj++usBAAUFBVAUBSeffDKefPJJPPzww2hsbMSPf/xj\nVFdXp3mPrSEbHGt1aj1hH0PNVRKzh6z7flcojJlThpn6u1lTKlMWWP3uxQ1YtWGP7rEjTR3428qt\nWPTiJ1CUzJ4/+f1pIzBp7ICYzzE709Dlcqb8OPkMMgjxyiWFMTJbdgZVi+WxkKKii7kYZ3vmyihL\nnYuZK4fDwV1f2jqCCIdVPnOV5MoJS8DvwaB+8puBTO1MzonM1YsvvoiFCxfisssuw7333hsVq993\n333c80aNGoUTTjgB06ZNwzPPPIOHHnrI8nvV17clZJ9FtMjb6PX9Eo8VVVGStj8Ef0yMroHhUPKO\nASsArm9sx7lThuGr7Ufw+bbDhn9z4sh+mHb8wJScF8vX7sSGzYdiPmf95oP4x8ot0ZEVPSXe78Qu\nPzt/LMrL8mPqC5tMZKMA4LsnDErpcXIbnJsuR5zvySDodTocaG/tREebPlMrQzsmLc3899PQ0MYJ\noEPB7F6vggYD1Ls6Qxn3uRLxO/F7XNBy0kca2nHgUDP3uBJM7ece2i8f+w/rtdQ+lyMl+1FWVhj/\nSQxZH1z94x//wIMPPog77rgD1113XdznFxUVYciQITh0KPZFIdMQx2gAQMBHmatUYdwtmDxRJytq\n7+xSuCaD/12zgyu5pLrJINfmTyZSX5jqZhCvwTlopVuQJT/PbaubWuZzlVsmor1n/A3AZ87bO0O6\nAfKp1FwBEaf29Vv01+1MNBAFsjy4WrduHR544AHMmzcPV111FfdYV1cXFixYgNNOOw3nnHNOdHtD\nQwN2796NyZMnp3hve4bMdybZgnaiG6MFNFkO7QAvoO04Wl7RgoD3PqtBfXMkszDtxMG4/OzRKQ1e\ncnX+ZKJG8aSyGcRnYHFgO7iyKTcQS5whpdvZG8jh4CrLP5cRAWG+oDhAPpmDm2WwdgwsJGhPMKqq\n4re//S0mTJiAc889F7W1tdzjgUAA9fX1uO+++9De3o6TTjoJtbW1ePTRR+FyufDTn/40TXtuj8I8\n/ULJzn8ikotRG3ZSNVdePnOloaoq19wwYnBxyrNCNH/SHKmYm2h0bsbTTeUbdDYabY+HaLYrZjq8\nOepzJX7uXEEc3twhlEX9Kb7+sB2DLLG0g+kka4Orffv2Yfv27QCAqVOn6h6/8cYb8fvf/x5PPfUU\n/uu//gv79++H3+/HSSedhL///e845phjUr3LPUJ2l5ksh3ZCj1HmKpl3bz6PPLhq7wxFu3iA9LgT\n0/zJzEFmERBv9A0QCfzyfG5uAC7Qk8wV/35icJXtGR6jIDbbzVGN4IMrBR2d6S0LBvxu5PlcnNkt\nADzw/HpMnzgkLUPrY5G1K96QIUOiLuyxuO2223DbbbelYI+SCwVX6SUdmitZWRAAmgRLjnR4SiXa\nH4qwj2ygcHGBuXOiMM8jCa7srStOpwMOAFrYL75utgdXvT5zFRSDq9QFldowdDGwAoD6lk4sXV2N\n6n1N+OUPxmdMgJUZe0HERRyB43Ck9uTu7aTaRBTQC9o1mlr5Lq4iG23zPYXmT2YOsnKb2XNCpuW0\nm7kCeCNRMbjySoLAbMLnle9/tgeNRuTpBO3dx9PhSK21RqYOrY9Fbp4VOUihsAj6PC7dOBwieRgt\noMkcAcFlrmIEV3Y8iRIBzZ/MDGTnoNlspiwjbmdoswbbMagrC2Z5V53L6ZSOusn2z2UEm7lqE7oF\n/V5XyubzpnoYeqLIzbMix1DCYfx7435uW0eXgjufXIfla3dCCWe2SWMuIFtAvW5nUlPQnKA92H3X\n2MT4D5nR1iQLzXLgB2cM17VDlxb68MNpwzMqTZ+ryMpV8ToFNWTauZ7o49xO48yVJ8XdZclAVoLN\n3cyV0C2YptE3qR6GnihItJPhaLVmWUq0vjkza825iKykkezBpUaCdjZzle4ZfjR/Mv3Izk2z50XC\ny4LMMc+1zBUgn+NoJBnIdlgrho4uhQuWU2nDkK2dyRRcZThWas2JcsEm9MguDMnWvBkK2tngSmIu\nmw5SYTlAyJFd6MwGV6LcALBvxQDwZcFc01wB8u86F4JGGWJ2qqGli3ksdcFVtnYm5+ZZkSNka605\nF5G1W/s8yf0R5zGLW1cwHD2+bLdgujNXRPqRWQSYLwsmL3PVLvgiZftsQUD+XfeGzBUArjSXyuBK\n60w2QyZ1JufmWZEjZGutOReR6SqSbaInlh01h+RMKgsS6acnmStpWTBJgnaZGDzbEL9rl9MBZ4qE\n3alGNKnmg6vUZYeytTM5+8/2HCZba825iDS4SqHmCjAIrtLUKUhkDj0TtMsyV4kRtHcwZUGP25my\n7rJkIn7XuSpmB/Q+ivXMYO5U2wBlY2dy7p4ZOUC21ppzEanmKsmiTnEB00TtbLcgZa4ImZbJrD2H\nLLgy8nMyA1cWZAwfc6EkCOizybmQjTNCDK7Ym/dUB1fZ2JlMV+MMhlywMwd55iq5Px9xIe/oUtAV\nVLhyCwVXhJhN8XtdMHONUcJhfPT1Qd32u5/+CNMn2BsnwgnaGc1VruiSRCuGXM5c+bwuznGfJdWj\nb4Ds60zO3TMjB8jWWnMuIltEk23FIGbGOoNKRrizE5mDEg5j9ef7uG1mPPA0i5cVEkdrzeJl8dJN\nlj30WId21uM4ZzJXYlkwhzNXTofDcDB9ste+WGidyROryjC6ojRjr3u5e2bkCNlYa85F0qK5kmSu\nGtuE4CoNQ5uJzEALkN78cJfusXgBUrLGibgNLnS5Mty4N2muACBg0LRDo9fik9tnRg6QjbXmXCQd\nwZXY9t0ZVNDcmv6hzURmYDdASqbFi8swuMqN9UkMrnJZcwXodVcaFFzFhzRXWUC21ZpzkXRorpwO\nB3weV7RLsKMrhHah1JJKp2Qic7AaIM2aPCy6VtixeDFrEOsyCDZypSwo3vDkStBoRCaWBbMFCq6y\nCHLBTh/pcGgHIouYFlx1diloF8TsudDeTlinJwFSMi1ecj5zpesWzO3fn2gkqpEOQXu2kRtnPEEk\nGamgPQVZI1bUHikLkg0D0bMAKZkWL8aZq9zIdOi7BXPjcxlhVBbMo8xVXCi4IggTyBbRZDu0A8J8\nwS6F97iiTsFeS08CpGSOEzEWtOfGpUYceZUrn8sIo+CKyoLxye0zgyAShFRzleTZggC/iHV2KcLo\nG+oU7K30JEBKpsVL7pcF+c+R62VBowwVlQXjkxtnPEEkmXR0CwJ8WbAjqNDQZgJAzwOkZFm85Lqg\nvbdZMVC3oH1y+8wgiASRTkG7hpi5MjvihMhNehIgJcvixWWQyckVbVJvMhEFYpQFqUs5LpTbIwgT\nOJ0OuJwOKIznTyp0B2zmqq0jiJb27syV2eG8RG6iBUgrPtyN9z7by3UPlhb6MGPiEMycbDzCJhkW\nLzlfFhSCiub2IJRwOGd9Bo26BUlzFR8KrgjCJB63EwpjhZAK3QG7iNU2dnCPUeaKSESAlEiLF7dB\nkJELZUElHMbqL/hRQ59srcWdT66zPYsx05FlrnxeF5xkARMXCq4IwiQetzM6NNnldKREzMoGV0eE\n4Io0V4RGpnjgGZcFszvo0EYNyRzxtVFD1fuacm5aRp6kI5r0VubInbOAIJKMh7lweNxOhFXzY0Hs\nwpYFFWEMCZUFiUwjV8uCyZrFmOnIMlfiQHlCTnaf8QSRApRwGMvX7kRDS7feqaNLwZ1PrsPytTul\ng3EThc+g9Oh0OBCwYO5IEKnAsFswiy/IyZzFmOlIgyuyYTAFBVcEEQNFiZQDlq6u1mWqtHLA4qWb\nkhZgGaXgC/M9pHsgMg5DE9Es7qqzM2ooV5AHV9kbKKeS7D3jCSIFvP6v7WktBxi1PBeTmJ3IQHKx\nLJjMWYyZjiyQok5Bc2TvGW+BV155BbNnz8b48eNx+umnY9GiRQgGg/H/kOjVKEoYb63bZeq5ySoH\nGC1khaS3IjIQ47Jg9l5qkjmLMdNxu5y6Y0eZK3Nk7xlvkmXLluH+++/HxRdfjBUrVuDXv/41li1b\nhgULFqR714gMZ/Ouehxp6oj/RCSvHGAkHqW5gkQmYtgtmMVlwWTOYswGxNIgaa7Mkb1nvEn+9Kc/\n4dxzz8VVV12F8vJyfO9738Mtt9yCl19+GQcPHkz37hEZTAszJNkMySgHGGWuqFOQyEQMy4JZLGhP\n5izGbEA0EqXMlTlyOrjauXMn9uzZg2nTpnHbzzjjDITDYXzwwQdp2jMiGyiwmB1KRjkglqCdIDIN\nIxPRbM5cAcmbxZgNiJkqCq7Mkd1nfBx27NgBAKio4E/4QYMGwePxoLq6Oh27RWQJY4eVom+R39Rz\nk1UOMBK0U1mQyESMyoLZrLkCkjeLMRsICEaiVBY0R05/Sy0tLQCA/Px8brvD4UB+fn70cSuUlgYS\nsm8imhA0Wa9PWMflcmLWaZX464otcZ977mnHoG/f/LjPs4rXL89QDRlQ2CvPFfqdZB7sMSk2uBnp\n1zc/J47Z5eeOw2Uzx2DLrnq0tAdRkOfBmMo+huXQdJHI30lRIX9M+5Tk5cSxTDY5HVwRRE/54XdH\nYuvOeqzfbKzPmzR2AC48Y3hS3t9Qc1VgTmBLEKnEsFvQnTulJJfLiWOH9033bqQMcQROtmchU0VO\nB1dFRUUAoMtQqaqK1tbW6ONWqK9vS8i+iWh3Asl6fcI62jH52fljUV6Wj/c+28uZCZYW+jBj4hDM\nnFyBJpNdhXZwu5wIKYJJqRLulecK/U4yD/aYdBg0gbS1dkINKdLHiMSTiN+JEsgLmFEAABzcSURB\nVA5jxYe78e8v9nPbn33jK9QcaM7JQdWxKCsrtPT8nA6uhg+PZBN27dqFCRMmRLfX1NQgGAxi5MiR\n6do1IotwOZ0479RKzDqlAttqGtHaEUK+341RQ0tS0hnk97rQ0s4HV4UBErQTmYdR5iqbTUR7I7EG\nVbe2h3J2UHUiyelvpby8HMOHD8d7773HbV+1ahXcbjdOP/30NO0ZkY24nE6MrijFxKoyjK4oTVnL\ntShqz/e74c7y7isiN5FpjxwOY4sGIjPprYOqE0nOr9C33HILVq5cieeffx579+7FO++8g8WLF+OK\nK65A3769p25OZC9i63MReVwRGYqsW9DrdsFBczCzht48qDqR5HRZEABmzpyJ3//+93j66afxyCOP\noF+/frjyyitxww03pHvXCMIUoqidDESJTEXmc0UlwezCzqDq0RWlSd6r7CPngysAuOCCC3DBBRek\nezcIwhZiWbCQPK6IDEVW/qPgKrvozYOqEwmd9QSR4VBZkMgW5GVBusxkE715UHUiobOeIDIc0Vem\ngDoFiQxF1i1ImavsorcPqk4UdNYTRIaihMNYvnYnPvv2MLf9/328B8vX7oQSDhv8JUGkB7e0LJg7\nBqK9gd4+qDpRUHBFEBmI5jOzdHU1uoJ8ENXWGfGZWbx0EwVYREYh01xRWTD76M2DqhMFnfUEkYGQ\nzwyRjVBZMDfozYOqEwUp0Qgiw7DqMzNr8jBKzRMZAXUL5g7pnkyR7VBwRRAZBvnMENmKW9Yt6CHN\nVTajTaYgrEG3FASRYZDPDJGtyMpEHhrVRPRC6KwniAyDfGaIbMXpdECcdOPx0GWG6H3QWU8QGQb5\nzBDZjJi9oswV0Ruhs54gMgzymSGyGdGlXTTBJYjeAJ31BJGBkM8Mka2IRqJkIkr0Rii4IogMhHxm\niGxF9LqisiDRGyElLEFkKOQzQ2QjotcVlQWJ3ggFVwSR4ZDPDJFNiMEVmYgSvRE66wmCIIiEoSsL\nUnBF9ELorCcIgiAShiho95KgneiFUHBFEARBJAzRioEyV0RvhM56giAIImGIHaxeCq6IXgid9QRB\nEETC0GeuqCxI9D4ouCIIgiASht5ElC4zRO+DznqCIAgiYYjdglQWJHojdNYTBEEQCYN8rgiCgiuC\nIAgigVBwRRAUXBEEQRAJRF8WJEE70fug4IogCIJIGOKcZpotTvRG6LQnCIIgeowSDmP52p347JvD\n3PZ5T3+I5Wt3QgmH07RnBJF6aHAzQRAE0SMUJYw/vbYRX2w/onusvrkTS1dXo3pfE375g/E6k1GC\nyEWyNrhqa2vDk08+ibfffhsHDhzAoEGDcOGFF+Kaa66Bx+MBAMyYMQN79+7V/e2oUaOwfPnyVO8y\nQRBETvL6v7ZLAyuWz7cdxlsf7ca5UypTs1MEkUayNri6/fbb8cUXX2D+/PkYM2YM1q1bhwceeADt\n7e247bbbos+bO3cu5s6dy/2t2521H5sgCCKjUJQw3lq3y9Rz3/10L2ZNHgan0FFIELlGVkYZ27dv\nx3vvvYff/e53OPvsswEAFRUV+Pjjj/H3v/+dC64CgQDKysrStasEQRA5zeZd9TjS1GHqufXNnfi2\npgGjK0qTvFcEkV6yMrg65phjsGbNGhQXF3PbBwwYgPb2doTDYTiprk8QBJF0Wtq6LD2/tSOUpD0h\niMwhK4Mrp9Opy0aFQiGsXr0axx9/PAVWBEEQKaIg4LX0/Hx/Vl52CMISGXeWd3Z2oqamxvBxj8eD\niooK3fZHHnkE1dXVeOGFF7jtX331Fa699lps2bIFLpcL06ZNwy233IK+ffva2r/S0oCtv4uHZryX\nrNcnrEPHJPOgY5J5lJYG0LfYjyON8UuDfYv9mHTcYJ2LO5FY6HeSfjIuuPrmm29w0UUXGT4+ZMgQ\nvPvuu9F/q6qKRYsW4b//+78xf/58nHzyydHHSktL0dLSgrlz52Lo0KHYvHkzHnnkEXzyySdYunQp\nfD5fUj8LQRBEruNyOTHr1Er8dcWWuM+dNaWSAiuiV+BQVVVN907YJRgMYt68eVi5ciUWLlyICy64\nIO7frF27FldffTUWLVqECy+80PJ71tY229nVuGh3GPX1bUl5fcI6dEwyDzommUdpaQCKEsaC5z7G\n59sOGz7vxJH9yOcqRdDvJPGUlRVaen7GZa7Moqoq7rrrLrz//vt45plnMGXKFFN/N2bMGADAwYMH\nk7l7BEEQvQaXy4lf/mA8Vny4G+99thf1zZ3Rx0oLfZgxcQhmTq6gwIroNWRtcLV48WKsWrUKzz33\nHE466STd49u3b8fTTz+N66+/HiNGjIhu37hxIwCgsrIyVbtKEASR87icTpx3aiVmnVKBbTWNaO0I\nId/vxqihJeRrRfQ6sjK42r9/P5566ilceeWVqKioQG1tLfd4cXExBg4ciPXr12Pz5s2YN28eKioq\nsHXrVjz44IMYNWoUZsyYkaa9JwiCyF1cTif5WBG9nqwMrj788EMEg0EsWbIES5Ys0T3+wgsvYPLk\nyXjxxRfx+OOP4+6770ZdXR1KSkowffp03HbbbdEROQRBEARBEIkkqwXt6YAE7b0HOiaZBx2TzIOO\nSeZBxyTxWBW0k7qQIAiCIAgigVBwRRAEQRAEkUAouCIIgiAIgkggpLkiCIIgCIJIIJS5IgiCIAiC\nSCAUXBEEQRAEQSQQCq4IgiAIgiASCAVXBEEQBEEQCYSCK4IgCIIgiARCwRVBEARBEEQCoeCKIAiC\nIAgigVBwRRAEQRAEkUAouCIIgiAIgkggFFwRBEEQBEEkEAquMoBXXnkFs2fPxvjx43H66adj0aJF\nCAaD6d6tXsWrr76KOXPmYMKECZg+fTruu+8+HDlyJPr4hg0b8JOf/AQnnHACTj75ZNx66604ePBg\nGve49zB37lyMHj0aNTU10W10PNJDTU0NbrzxRkycOBGTJk3CDTfcgH379kUfp+OSWkKhEJ599lmc\nd955OP7443HKKafgnnvuQW1tbfQ5dEzSAwVXaWbZsmW4//77cfHFF2PFihX49a9/jWXLlmHBggXp\n3rVew/PPP4/7778fc+bMwbJlyzB//nx88MEHuOmmm6CqKqqrq3HNNdegvLwcr7/+Op5++mns27cP\n1157LQXBSebVV1/FRx99xG2j45EempqacMUVV0BRFLz00kt49tlnceDAAVxzzTUIh8N0XNLA448/\njscffxzXXXcd3nzzTTz++OP4/PPPcd111yEUCtExSScqkVbOPPNM9fbbb+e2/eMf/1DHjBmjHjhw\nIE171XsIh8Pqaaedps6bN4/b/tJLL6lVVVXq5s2b1Xnz5qnTpk1Tg8Fg9PHt27erVVVV6htvvJHq\nXe41HDx4UD355JPV+fPnq1VVVeqePXtUVVXpeKSJP/3pT+ppp52mtre3R7ft2LFDXbFihdrR0UHH\nJQ2ceuqpurXrzTffVKuqqtSvvvqKjkkaocxVGtm5cyf27NmDadOmcdvPOOMMhMNhfPDBB2nas96D\nw+HA8uXLcc8993DbBwwYAABobW3FmjVrMHXqVLjd7ujjw4cPx9ChQ7F69eqU7m9v4oEHHsCECRNw\nzjnncNvpeKSHt99+G9/73vfg9/uj2yorKzFz5kz4fD46LmnC5XJx//Z6vdH/p2OSPii4SiM7duwA\nAFRUVHDbBw0aBI/Hg+rq6nTsVq+jpKQEhYWF3LZVq1YhEAigqqoKhw4d0h0jABg2bBgdoySxYsUK\n/Pvf/8b8+fO57a2trXQ80kAwGMS2bdtQXl6OP/zhD5gxYwamTJmCO+64A3V1dXRc0sSll16KFStW\n4OOPPwYAHD58GM899xxOPPFEVFRU0DFJIxRcpZGWlhYAQH5+Prfd4XAgPz8/+jiRWt599128/PLL\nuP7669HW1gZAf4wAoKCgAM3NzanevZynoaEBCxYswB133IFBgwZxjxn9ZgA6HsmksbERoVAIf/nL\nX9DZ2Yk//elPmD9/PtavX4+rrrqKjkuauPHGG/HjH/8Yl19+OcaPH4/TTjsNqqriqaeeQmtrKwA6\nJumCgiuCYFixYgVuvvlmnH/++bj++uvTvTu9koULF6K8vByXXXZZuneFOEooFAIAlJeX4+6778a4\nceNw9tln4ze/+Q22bt2qazogUsNzzz2Hv//977j//vvxyiuvYPHixWhubsZNN90ERVHSvXu9Gnf8\npxDJoqioCAB0GSpVVdHa2hp9nEgNL774IhYuXIjLLrsM9957LxwOR7RcKMsiNjc3o7i4ONW7mdOs\nXr0ab7/9Nl577TU4nfp7Pzoe6aGgoAAAMH78eG77pEmTAACbN28GQMcllTQ0NOAPf/gDbrjhBvz0\npz8FAIwdOxZDhw7FnDlzsGHDBgB0TNIFBVdpZPjw4QCAXbt2YcKECdHtNTU1CAaDGDlyZLp2rdfx\nj3/8Aw8++CDuuOMOXHfdddHtgUAAgwYNwq5du3R/s3PnTpxyyimp3M2cZ8WKFejo6MD5558f3aaq\nKgDg7LPPxqRJk+h4pIGCggKUlZWhsbGR2x4OhwEA/fv3p+OSYnbv3o1gMIiqqipu+zHHHAMA2LNn\nDx2TNELBVRopLy/H8OHD8d577+HCCy+Mbl+1ahXcbjdOP/30NO5d72HdunV44IEHMG/ePFx11VW6\nx6dNm4Z3330XwWAQHo8HAPD1119j3759mDFjRor3Nre59dZbcfXVV3PbNm7ciHvuuQd//vOfMWzY\nMCxZsoSORxo444wz8P7776OzsxM+nw8AotmR0aNH0+8kxQwZMgQAsG3bNnzve9+Lbt++fXv0cTom\n6cP1m9/85jfp3oneTL9+/bB48WLk5+ejf//++Pjjj/HQQw/h0ksvxVlnnZXu3ct5VFXF9ddfj2OO\nOQY333wz2trauP+ASKr9hRdewM6dOzFy5Ejs2bMH9957L4YMGYI777wTDocjzZ8idygoKEDfvn25\n/5qbm/H666/jlltuQXl5OUaOHEnHIw2MGDECf/vb37Bp0yaMGzcOX3/9NebPn4+RI0fitttuo+OS\nYgKBAKqrq7Fs2TIMGDAA+fn5+Pbbb6Mdtvfeey+OPfZYOiZpwqFqOXcibfzzn//E008/jV27dqFf\nv3646KKLcMMNN0g1J0Ri2bt3b8w7uBtvvBE33XQTNm7ciEWLFuHLL7+E3+/H9OnTMW/ePJSWlqZw\nb3snH330Ea644gqsWrUKQ4cOBQA6Hmli06ZN0e/d6/XirLPOwj333BPVZNFxSS1tbW144okn8NZb\nb6G2thYFBQWYNGkS/uM//gOVlZUA6JikCwquCIIgCIIgEgilRgiCIAiCIBIIBVcEQRAEQRAJhIIr\ngiAIgiCIBELBFUEQBEEQRAKh4IogCIIgCCKBUHBFEARBEASRQCi4IgiCIAiCSCAUXBEEQRAEQSQQ\nCq4IgiAIgiASCAVXBNFL+eMf/4jRo0fH/O/Pf/5zunczJlu2bMHPf/5znHTSSZgwYQIuuOAC/OUv\nf0EoFOKe19XVhUcffRRnnnkmxo8fj2nTpuGhhx5Ca2ur9HVfeuklnHjiiTFHI/3zn//ExRdfHH3v\nH//4x3jrrbcS+vnM0tXVhSVLluCss87C+PHjccYZZ+Cmm27Ctm3bdM/99NNPcfXVV2PixIk44YQT\n8JOf/ATr1q2Tvu6BAwdw+eWXY/To0Vi6dKn0Od988w1uvfVWzJgxA+PHj8fUqVNx5513Ys+ePQn9\njASRTbjTvQMEQaSXRYsWYcSIEdLHBg4cmOK9Mc+WLVtw8cUXY8SIEVi4cCGKiorw1ltvYeHChdi+\nfTseeOCB6HNvv/12rF69GjfffDMmTJiAb7/9Fg8//DC2bt2K559/PjrAtqmpCffddx9Wr14Nt9t4\nefzzn/+MRx55BJdccgluu+02tLW1YcmSJbjlllvw+9//HnPmzDH823A4jO985ztYvHgxJk+enJDv\n4u6778aKFSvws5/9DKeeeir27duHJ554Aj/60Y/w+uuvR+fMffnll7jyyitx4okn4tFHH4XX68UL\nL7yAa6+9FkuWLMGUKVOir/nOO+/g3nvvhcfjMXzfbdu24ZJLLsGQIUNwxx13YMCAAaiursYTTzyB\nNWvWYPny5ejTp09CPiNBZBUqQRC9kieeeEKtqqpSv/zyy3Tvii1+8YtfqCeeeKJaV1fHbb/qqqvU\nsWPHqo2NjaqqqurHH3+sVlVVqc888wz3vJdeekmtqqpSV61aFd02b948ddasWeo333yjXnDBBer0\n6dN179vQ0KAee+yx6i9+8Qtue2Njozpx4kT1Rz/6Ucz9/uqrr9Sqqir1ww8/tPR5jfj666/Vqqoq\n9T//8z+57evXr1erqqrUhx56KLrt8ssvV0855RS1tbU1uq2zs1OdPn26+v3vfz+6bc+ePeqYMWPU\nxx57TF25cqVaVVWlvvbaa7r3XrBggVpVVaVu2rSJ2/7666+rVVVV6ssvv5yQz0gQ2QaVBQmCiItW\nQtywYQN+8IMf4Ljjjos+duDAAdx9992YOnUqjj32WEydOhV33XUXDhw4EH1OTU1NtMz40ksv4cwz\nz8Txxx+Piy66CJs3b0ZtbS1uuukmnHzyyTjttNOwYMECdHV1xdynSy65BA8//DBKS0u57ePGjYOi\nKDh48CAAYOXKlQCA888/n3ve7Nmz4XQ6o48DwHe/+128+uqrGDVqlOH7KoqCu+66Cz//+c+57UVF\nRRg+fDhqamoM//aPf/wjvv/97wMArrjiCowePTr62Pbt23HzzTdj8uTJGD9+PKZPn47f/va3aGxs\njPU1oKSkBL/73e9w6aWXctvHjx8PANi3bx8AoKGhAR9//DHOPPPM/7+9+4+Juo7jOP4E4cSQNRC4\n8UsJMSc45xwUFsMVK7bU/sAfxKZmWzMyguUPStdSYGpr7hiOsiyZA1kQbBE1XVNR56YmzdUkwxXt\n/EmoOBRS4JTrD3bfcd4d3rXrH3k9Njb8fD/fz/fu8w+vfT7vz1eeeOIJo5/JZCInJ4fffvvN2Moz\nmUzGSlxgoOc/EyaTCcBpPIDJkycDMGnSpDE/u8jjStuCIuK1nTt38tprr5GUlASMbKPl5+djs9l4\n9913SUpKwmq1UllZSVtbGy0tLcYfWoBjx44RFhZGaWkpN27coKysjJKSEsLCwnj55ZdZuXIlLS0t\n1NbWMnXqVFatWuXxsyxYsMBte2dnJ0FBQcTHxwNw4cIFwsLCMJvNTv0mT55MTEwMv//+u9GWk5Pz\nyDmIiIhg5cqVLu02m42uri5jbtxZvnw5AFVVVZSWlpKamgrA5cuXycvLIzIykk2bNhEXF0dHRwcV\nFRX8+uuv1NfXe9ymjImJMQLbaI56q6eeegoYqY2y2+0kJye79H366aeBka3WhIQEoqOjiY6OHmsa\nAFi2bBkNDQ18/PHHfPTRR5jNZqxWK7t37yYxMZHs7OxHjiHyOFK4EhGvzZ492wgIAHV1dVy7do3q\n6mqef/55ANLT04mKiuKtt96iqamJ1atXG/0vXbpEa2urseJx8uRJWlpaKC4uNvrNmTOH5uZm2tra\nxgxX7rS2tnLs2DHy8/ONVZNbt265rG45TJkyha6uLp+e8bAHDx5gtVqxWCzcu3ePdevWeexrNpuJ\ni4sDRkKPYwXwiy++oL+/n8bGRiMMpaenExgYSFlZGUePHuWll17y+jPZbDbKy8uZOHEieXl5APT0\n9AC4nQtHXZSjj7cSExNpaGiguLjYqfg/IyODPXv2aOVKxi1tC4qI10YXPAOcOnWK0NBQnnvuOaf2\nzMxMgoOD+emnn5za09LSjGAFEBsbC2AEM4CQkBDCw8MfuR32sDNnzlBSUsKMGTPYsGGD0T44OOj0\nzNFMJhMDAwM+PWe0ffv2kZKSwiuvvMK1a9eoqalh3rx5Po9z6tQpkpOTjWDl8MILLwC4zONYhoaG\n2LhxI7/88gulpaXGHA8ODgK4nQtHm69z0dvby8aNG7l79y47duygoaGBbdu28ccff1BUVMS9e/d8\nGk/kcaGVK5FxbunSpR6v1dTUOJ1oe/jkV3d3N1FRUcZpO4egoCDCw8ONuidP9zu2uh5uDw4Oxm63\ne/0dDhw4wPvvv8/06dP56quvCA0NNa6FhIR4rN8aGhoiJCTE6+c87NVXXyU9PZ3u7m6+/fZb8vPz\n2bp1K7m5uT6N093d7fbkYFRUFADXr1/3apy+vj7Wrl3Lzz//zJYtW5y2Cx3f02azudznmB9fV5o+\n//xzzp8/z/fff2/Uqc2dO5dp06axYsUKGhoanFYuRcYLhSuRcW7nzp1u63AApk6d6vTvh+t+AgIC\nPIYgu93uEro88bafO3V1dZSXl5OVlYXFYnGq8QKIjIykvb3d7b09PT1e1RZ5EhERQUREBKmpqbz4\n4osUFRWxdetWsrOzefLJJ70ex9P39yVg9vT0sHr1aq5cucKnn37q8o6uyMhIYGSb1N29gM9zcebM\nGWJiYlwOAKSlpREcHMzZs2cVrmRc0ragyDiXmJjIrFmz3P6MXgFyJzY2luvXr7uEgKGhIXp7e//3\n92Q1NzdTXl7OsmXL2L17t0uwApg1axZ9fX3GqTmH27dv09XVxZw5c3x65sWLF6mvr+fq1asu11JS\nUhgcHMRqtfo0ZmxsrNPpSgfHyt+j5rG/v58333yTmzdvUlNT4/blpzNnzmTChAlcuHDB5VpHRwcB\nAQHGCUNvDQ4Oul0Js9lsPHjwwNiKFBlvFK5E5D/LzMzk7t27nDhxwqn9+PHj2Gw2l1osfzp//jwf\nfvghixcvpqysjAkTJrjtt3DhQgC+++47p/bm5maGh4dZtGiRT8/9+++/2bJlC19//bXLtbNnzwIj\nJ/g8caxSDQ8PG22ZmZl0dnbS2dnp1PfIkSMAj5zHzZs3Y7Vaqa6udnpNxmhhYWFkZWXR2tpKf3+/\n0T4wMMDBgwfJyMgwtiG9lZqays2bN+no6HBqP336NMPDwz4HV5HHhbYFReQ/y8vLo76+ns2bN/Pe\ne+8xbdo0/vzzTyorK0lOTva59sgX27dvJygoiCVLlrjd9ouPjyc8PJzZs2eTm5vLZ599xsSJE5k7\ndy7nzp2joqKChQsXkpaWZtxz7tw54/eBgQGGhoaMNpPJxMyZM0lPT+eZZ56huroau91OZmYm9+/f\n58CBAxw/fpzc3Nwxt9ccAaaxsZE7d+4wf/581qxZww8//EBhYSGFhYVERUXR3t7Orl27ePbZZ8nK\nyvI43unTp/nxxx9ZunQp9+/fd/oOoz83wPr161m+fDkFBQWsWbOGwMBA9u7dy507dygpKTHu6e7u\nNuq8Ll26BMDVq1eNsR1zW1BQwOHDh1m7di2FhYUkJCTw119/UVlZidlsdnn3lsh4oXAlIv9ZaGgo\n+/fvx2KxYLFY6O3tZcqUKeTk5FBUVPS/HsVva2sD4PXXX3d7fceOHUa4Ky8vJy4ujrq6OiwWC9HR\n0bzxxhu8/fbbTve4K+53tMXFxdHa2kpgYCB79uzhyy+/5ODBg9TU1DBp0iQSEhL44IMP3L4Da7SM\njAyys7M5dOgQJ0+epKmpifj4eOrr67FYLJSVlfHPP/9gNptZsWIF77zzzpgv8nTMQ1NTE01NTS7X\nHZ8bYMaMGdTW1lJRUUFxcTEwUoBeW1tLSkqKcc8333xDVVWV0zhVVVVGm2Nuk5KSaGxsZNeuXXzy\nySf09fURHh7OggULKC4u1n99I+NWgN2XikkRERERGZNqrkRERET8SOFKRERExI8UrkRERET8SOFK\nRERExI8UrkRERET8SOFKRERExI8UrkRERET8SOFKRERExI8UrkRERET8SOFKRERExI8UrkRERET8\nSOFKRERExI8UrkRERET8SOFKRERExI8UrkRERET86F98aTUKzW1gjQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d60012d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "conf10=conf.iloc[:int(0.1*len(conf)),:]\n",
    "profits,lens=profitsAlongTime(conf10,117)\n",
    "fig=plt.figure(figsize=(5.5,3),dpi=120)\n",
    "plt.plot(profits,linewidth=2,marker=\"o\")\n",
    "plt.suptitle(\"Betting on sections of 117 matches\")\n",
    "plt.xlabel(\"From 2013 to 2018\")\n",
    "plt.ylabel(\"ROI\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is a great variability but the process seems quite stationary. \n",
    "\n",
    "To sum up, a strategy that gives a good ROI in 2013 still gives a good ROI in 2018, which is quite reassuring.\n",
    "\n",
    "But such a variability would force us to wait much more that 117 matches to guarantee the 58% ROI...\n",
    "\n",
    "**Now let's bet on 35% of the matches (~3850 matches). The average ROI over our study period in 20%.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 227,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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tDw3PkVbp4MGDWLJkCXQ6Hfr27Yv7778fRUVFOH36NMrKyjBkyBBs2LDBpgrB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\nHm1U4j1Nrn5RAcSDJk2tHhqt3mS2IHF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SgsTERAqaOMqrxXse7FLcsqE6TYJAwh7Toosr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LQvOLlF9Sz5y1344vKWggtbAtAsdCgVo6kon7KmpibN1wKBAA4ePIhp09TWcnNzM9raUjf6yzcu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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0d5ff372e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "confconf=conf.iloc[:int(0.35*len(conf)),:]\n",
    "profits,lens=profitsAlongTime(confconf,117)\n",
    "fig=plt.figure(figsize=(5.5,3),dpi=120)\n",
    "plt.plot(profits,linewidth=2,marker=\"o\")\n",
    "plt.suptitle(\"Betting on sections of 117 matches\")\n",
    "plt.xlabel(\"From 2013 to 2018\")\n",
    "plt.ylabel(\"ROI\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Standard deviation : 12.5\n"
     ]
    }
   ],
   "source": [
    "print(\"Standard deviation : \"+str(round(profits.std(),1)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**By betting on 35% of the matches, by sections of 117 consecutive matches, we almost never loose money !**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Conclusion <a name=\"conclusion\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A comfortable observation is that the betting market seems quite stationary, which is a condition for powerful and secure betting strategies.\n",
    "\n",
    "It also appears that making steady money with tennis betting is possible. \n",
    "The technique above gives a **ROI of 20% by betting on 35% of the matches** (on Pinnacle).\n",
    "And there seems to be a lot of techniques and improvements to explore to make it bigger.\n",
    "\n",
    "Don't hesitate to tell me if you see any mistake, especially any leak.\n",
    "\n",
    "I hope you liked this kernel ! :)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
